Student Generated Problems - Projectile Motion
Vector Addition
1. 10.9 m/s N + 5.7 m/s E + 2.3 m/s W
(Danielle; 11.42 m/s 17.32 degrees)
2. A train travels 890 meters at 60 degrees north of west and then turns due north for 200 meters what is the total
displacement? (Ariana; 1068 meters and 24.6 degrees west of north or 65.3 degrees north of west)
3. A fish swims 4.8 m east and 7.3 m north. What is the fish's displacement? (Dani; 8.74 meters E of N)
4. A turtle walked 1.4 meters east and 2.2 meters north. What is the turtle's final displacement?
(Jocelyn;
Answer- 2.608 meters north of east)
5. A businessman late for work leaves his house and drives 5.0 km north then turns right and drives 7.25 km before
turning northwest and arriving at his building another 3.0 km away. (Doug; 8.6 km @ 34.41 E of N)
6. An object travels 24m due west and, after colliding into something else, travels 12m more in a direction 72
degrees north of east. What is the object's displacement? (Alex; 23m; 29 degrees S of E/ 61 degrees W of N)
7. If V represents a displacement of 800 m at 40 degrees north of east, what are the magnitudes of the component
vectors? (Bryce; Answer: 514.23 m N, 612.84 m E)
8. On a fall day, Meg and Jaz decide to drive to Forrest orchard to pick apples. They drive 21.1 km north and the
turn 18.2° west of North and drove another 12.8 km. How far did they travel? (Lydia; X= 33.48km)
9. A very fast dog hops a fence and runs at 3 m/s E, then turns and runs at 4 m/s N. What is the dog's final vector?
(Kyleigh; 5m 53 degrees N of E)
10. A student leaves his home to walk to school and walks east 135m. He sees that the road is blocked off and had to
turn 60 degrees north of east for 75m and arrives at school. What was his displacement? (Brian; 184.323m, 29
degrees N of E)
11. An otter swims 12 m N then 0.2 km E. What's the otter's displacement and angle of displacement? (Muskan;
23.32 m E of N, 59.1°)
12. Jimmy walks 12km North then turns 12km East, what is his displacement? (Javan; 16.97m)
13. Josh took his dog to the dog park and let it off the leash. The dog took off and ran 8.61 meters South. A chihuahua
caught Josh's dog's attention, so Josh's dog turned 37 degrees N of W and chased the chihuahua 6.12 meters. What
was the displacement of Josh's dog? (Tylan; 6.94 meters 45.23 degrees S of W)
14. A witch is flying 80 meters due east when a sudden wind sends her 100 meters due north. What is her final
displacement? (Bethany; 128.06 m N of E)
15. Jenna walked 51.93 miles due north to Molly's house and then the two of them walked 63.5 miles due west to
Haleigh's house. What is the displacement of the two girls? (Molly; 82.03 miles W of N)
16. A lion was walking due east for 15m towards his food dish. The lion saw his trainer with his toys so he changed
his direction to due north for 8m to play with his trainer. What was the lions displacement? (Spencer; 28.1*NofE)
17. A man drives 6.7 km east and then 5.4 km north to visit a friend. What was his total displacement? (Sara; 8.6 km,
51.13 degrees N of E)
18. Bryan is driving to football practice and drives 18 km north but forgets he has to pick a friend up. He turns 35.0°
north of east for 10 km to pick up his friend. What is his displacement? (Dylan; Answer: 25.11 km 70.96° N of E)
19. A meerkat leaves its burrow and runs 13.4 m due south to the next burrow. He then runs in a direction 41 degrees
north of west for 57 m to another burrow. What is his displacement? (Kiersten; 50.25 m, 58.85° west of north)
20. 5.5 m/s N + 2.2 m/s W (Sommer; 5.92 m/s 21.8 degrees W of N)
21. Tommy has a new paper route. He must travel 50m East to the local town’s Post to pick up the papers. He then
travels 70m South, delivering papers along his route. What distance and direction must he travel to get home?
(Moriah; 86.023m E of N)
22. A child walks 7.4m east and then proceeds 10.9m north. What was the child's displacement? (Michael; 13.175m;
55.83 degrees north of east)
23. Mickey Mouse walked to go visit Minnie. He walked 8 meters east and the turned and walked 12 meters north.
What was his displacement? (Haleigh; 14.4 meters; 56.3 degrees north of east)
24. Asuna is meeting Kirito at the entrance to the boss room. To do this, she needs to run 40m west and then 15m 35°
north of west. What was Asuna’s displacement? (Kathleen; 53m, 9.34° N of W)
25. If a runner jogs 3 miles north, then 4 miles east, what is his displacement and direction? (Jacob; 5 miles
Northeast)
26. If you were to walk 3.25km east and then walk 2.5km of 35 degrees N of W, what would be your displacement?
(Trevor; 2.74km at 32.27 degrees N of E )
27. A dog walks 4.3m North, and turns and walks East for 7.6m. Where does the dog now? (Devin; 8.73 N of E)
28. An indian boy gets on top of his elephant to search for the Diwali celebration. He starts by traveling 7.1 meters to
the north. With no luck, he then travels 14.2 meters east. The boy is then welcomed by the presence of fireworks,
dancing, and music! He has reached the celebration. What was his total displacement? What is the angle of
displacement in which the boy traveled? (Rajiv; 15.88 m, 63 degrees N of E)
29. A car drives north for 45m then immediately turns east and drives for 75m more. What was the cars displacement
and angle? (Treven; 87.46m 59.0362 degrees E of N)
30. If a dog broke out of his house and walked 33.5 m horizontally, then ran due north for 27.3 m, what was the dog's
displacement? (Nicole; 43.2m)
31. Y direction=2, X direction=5 (Josh; V= square root 29)
32. If you were to walk 3.5 m/s East and then 2.9 m/s North, what is your displacement? (Becca; 4.5 m/s)
33. A track star begins his warmup by running 30m N and continues by running 50m W. What is their displacement?
(Sydne; 58.3 m, 30.96° N of W)
34. Treven leaves home and then jogs 10 km north where he reaches a dead end, he then turns and jogs 5 km directly
west. Determine Treven's resulting displacement. (Adam; 11.2 km)
35. Adam strikes a tennis ball with an initial velocity of 12 m/s at an angle of 28 degrees above the horizontal.
Determine the time that the tennis ball remained in flight before reaching the ground. (Max; 1.1 s)
36. A= 7.6m/s north B= 9.7m/s south A+B (Sierra; -2.1m/s south)
37. Find the resultant if A=8.2 m/s N and B=4.6 m/s S. a) A+B= (3.6 m/s N) b) A-B= (12.8 m/s N; Jessi)
38. A dog chases a rabbit for 2.3 m north, then veers 43.5° north of west when the rabbit changes direction and
continues to chase the rabbit for 4.5 m. The rabbit darts east for 1.3 m, escaping into a hole in the ground. What is
the dog’s total displacement? (Lissa; 5.7 m, 20.0° W of N)
39. A bunny hops 12 meters south away from a car. It sees another car and heads 8 meters east. What was the total
displacement of the bunny? (Sarah; 14.42 m; 33.7 degrees E of S)
40. A thief ran north up a 12m alley from a cop. As the cop got closer he turned 35 degrees north of east and ran
down another alley that is 15m. What is the total length that the thief ran from the cop? (Marissa; 23.98m)
41. A person runs 50.0 m north and then runs 100.0 m east. What is the displacement of the runner from where they
started? (Kayla; 111.8 m, 63 degrees E of N)
42. One night the zookeeper forgot to close the giraffe’s gates. The giraffe left the zoo going 45 meters at 46 degrees
north of west. The giraffe then turned 64 degrees north of east for 90 meters. What is the giraffe’s displacement
from the zoo? (Asia; 114 meters)
43. A wolf runs 4.7 m North, in chase of its prey, which makes a sharp turn East and runs 7.1 m until the wolf finally
catches it. What is the wolf's resultant, magnitude, and direction? (Taylor; 8.51 m, 56.50 degrees e of n)
44. A lion runs south for 11.3m in pursuit of a gazelle, which makes a sharp turn to the west and runs for 7.7m until it
is caught. What is the lions magnitude and direction? (Bryan; 13.7m, 34.3° W of S)
45. Ricky Bobby was driving with his puma in a race on July 12, 2014. From the start he drove 1.2 km due north
then turned at a 25 degree angle north of east. He continued for 3.4 km before making a hairpin turn at 30 degrees
south of west and going another 0.5 km. He made another hairpin turn at 35 degrees north of east; after 2.7 km he
turned due south for 16km. He then turned due west for 1 km. He then turned at a 44 degree angle south of west
for .6 km. Then took another turn at 13 degrees north of west and drove .7 km . Then turned 14 degrees south of
west of .2 km before missing a turn and having a collision with the stacked tire barriers. How far was Ricky from
where he began the race? (James; 12.6 km at 78.3 degrees S of E)
46. Pluto went to go visit Mickey Mouse at his clubhouse. He walked 12 meters north and turned and walked 9
meters west. What was his displacement? (Jenna; 15m,36 degrees E of N)
47. Vector Addition Problem: A = 7.9 m/s N, B= 5.4 m/s W, C= 4.3 m/s S
a. A+B= (Brian; 9.57 m/s W of N, 34.4 degrees)
48. A motorist drove his cycle 1500m north from his garage and then turned east 3600m to his job. What was his
displacement from his garage to his job. (Marquese; 3900m; 67.4 degrees E of N)
49. A cheetah gets angry and breaks outside of its cage at the local zoo, traveling 33 m south. The cheetah senses a
prey in the nearby area and makes an abrupt turn 50 degrees North of East for 60 m until she realizes that her nose
led her wrong and away from her home. What was the cheetah's displacement? (Gabby; 40.7 m, 71.5 degrees E of
N)
50. Jason is walking around his neighborhood. He starts at his house and walks 12.3m east and then walks 24.7m
south. What is his total displacement? (Patrick; 27.59m south of east)
51. A player runs toward the ball for 5 meters north. Then, as the ball passes the player, she turns north of east at a 35
degree angle and sprints for 10 meters. What was her total displacement? (Ashley; 13.5 meters at 63.4 degrees
east of north)
52. If you board a flight in Dayton and fly South for 1175 miles and then board another fight and go 1300 miles East
what is your total displacement? (Nick; 1752 miles southeast)
53. A witch is flying due north on her broomstick for 15 m, she then turns east and flies another 10 m. What is her
displacement from the point of origin (magnitude and direction?) (Avonna; 18 m, 33.7 degrees E of N)
54. Natasha walks to the store 10 km north and then decides to visit her Grandmother going 7 km east. Find her
resulting displacement. (Troy; 12.2 m)
55. A cat frightened by a nearby dog darted to the nearest tree 7m away. Once at the tree the cat scurried up to a
branch 3m high all in 4 seconds. What was the cats' final displacement? (Travis; 7.616m)
56. Daffy Duck was on his way to see Bugs Bunny in his rabbit hole. He tiptoed 10 meters East past Elmer Fudd's
house, turned, and ran a total of 15 meters South. What was his displacement? (Also include his angle)
(Antoinette; Answer: 18.03 m, 56.31 degrees S of E)
57. Racer goes 60 cm W turns and drives 50 cm N then goes 40 cm SW what's total displacement and angle?
(Connor; 90.9; 13.8° N)
58. You're in Wal-Mart walking north for 6 m. You see TA so you quickly duck behind a rack of clothes and travel 8
m east out of the store. What's your displacement? (Jackie; 10 m Northeast)
59. Joey is driving 50 meters East and then turns and goes 125 meters North. Find the displacement. (Austin; 134.63
m, 68.2 degrees N of E)
60. A bank robber zipped his money bag as the alarm sounded. He bolted out and turned north, running for 35m. The
robber then ran 20 degrees north of west for 15m then headed north for 20 m. What is the robber's total
displacement? (Jennedie; 61.73m)
61. Esther started taking a new route to walk to school in the mornings, which would get her to school earlier. She
would have to walk 10 meters East of her home, then 20 meters North, and finally, an additional 5 meters East to
arrive at her school. What would her displacement from home to school be?
(Alexis; 35 meters North of
East)
62. A person walks 3.67m North and then he turns and walks 2.93m East. Where is the person now? (Jesse; He is
4.696m at 38.6 degrees Noth of East)
63. Hunter walks 35.4 m due north in search of the nearest restaurant. He immediately turns his attention to Subway,
causing him to turn and walk 22.7 m due east. What was his displacement? (Magnitude and direction)
(Hunter; 42.1 m @ 32.7 degrees E of N)
64. Little Red is delivering goods from her parent's bakery to her grandmother. She was walking 73 m. North when
she realized the wolf was following her. Red sprinted East 86 m. the rest of the way. How far away is her parents
bakery from her grandmother's house? (Angelica; 112.8 m. 49.7 degrease E of N)
65.
Horizontally Launched Projectiles
1. A car drives off a 20 m. high ledge and lands 25.7 m. from the base. How fast was the car traveling before it went
over the edge? (Danielle; 12.72 m/s)
2. Susy is running 1.5 meters per second and dives horizontally into the water from the edge of a vertical rock. She
hits the water 5 seconds later. How tall is the rock and how far from its base did she hit the water? (Ariana;
Horizontal distance is 7.5 meters and vertical distance is 122.6 meters.)
3. A cat jumps horizontally from a 3.6 m tall tree with a speed of 2.7 m/s. How far from the base of the tree will the
cat land?
(Dani; 2.322 meters)
4. A cliff-diver runs at a speed of 2.1 meters/second jumps off of a cliff that is 32 meters tall and reaches the water
below 2.4 seconds later. How far from the base of the cliff did the cliff-diver hit the water?
(Jocelyn; Answer5.04 meters)
5. A teenager runs off a 45.0 meter cliff into the water below at 3.75 km/hr. How far away from the cliff did he
land? (Doug; 3.2 m)
6. A car rolls horizontally off a 25m high cliff and lands 15m away from the base of the cliff. How fast was the car
going when it left the top of the cliff? How long did it take the car to hit the bottom? (Alex; 6.64 m/s; 2.26s)
7. A driver drives horizontally off a 60 m high cliff. How fast must the motorcycle leave the cliff if it wants to land
on level ground, 100 m from the base of the cliff? (Bryce; Answer: 28.6 m/s)
8. A skydiver leaped off a 38.9m cliff for practice. If he traveled 53.6m from the cliff in 4.2 s what is his speed?
(Lydia; V = 12.76m/s)
9. A toy car speeds off a counter top at 5 m/s. It reaches the ground 2m from the base of the table. How long is the
toy car in the air? (Kyleigh; 0.4s)
10. A sky diver jumps horizontally off of a 200m cliff. How fast must he go to land 150m from the base of the cliff
and how long did it take for him to reach the ground? (Brian; V=23.48, t=6.388s)
11. A ghost is flying horizontally attacking a civilian at a speed of 250 m/s. She is 400 m away, sitting on a park
bench. How long will it take for the ghost to reach her? How far off the ground is the ghost flying? (Muskan; t=
0.625 s, Xo= 1.916 m)
12. A motorcycle speeds horizontally off a 40.0m cliff. If he was going 28.5m/s how far away would he land from the
cliff? (Javan; 81.4m)
13. A soccer ball is kicked horizontally off a 31 meter-high hill and lands a distance of 56 meters from the hill.
Determine the initial horizontal velocity of the soccer ball. (Tylan; 22.275 m/s)
14. A cannon ball is shot at a horizontal speed of 50 m/s off a pirate ship and lands in the sand 76 m away. What must
the height of the pirate ship be in order to achieve this horizontal distance? (Bethany; 11.32 m)
15. The blind donkey got loose and began running. His owner tried to stop him before he ran off the cliff, but didn't
catch the donkey in time. The donkey was running at 5.19 m/s when he ran off the 543 foot cliff. How far from
the base of the cliff did he land? PS he landed in the water and was rescued (Molly; 54.6 m)
16. A stunt driver is doing a shot for a movie. He is running from the cops and he drives of a 100m cliff at 95mph.
Where will they need to place the air bags to catch the car? How long will the driver be in the air? (Spencer;
T=4.51s; X=191.675m)
17. A police officer witnesses a speeding car drive off a 32 meter cliff. If the car had a velocity of 62 km/h, How far
from the edge of the cliff will the car hit the water below? (Sara; 44 m)
18. Austin is running off a 100 m high cliff. How fast does he have to go to land 185 m from the base of the cliff?
(Dylan; Answer: 40.9745 m/s)
19. A man being chased by a lion sprints horizontally off a 67.0 m high cliff. How fast must the man leave the clifftop if he is to land on ground level below, 32.0 m into a soft pile of grass from the base of the cliff where the lion
stopped? (Kiersten; 8.65 m/s)
20. Stewie is flying an airplane traveling 120 km/h wants to drop a dumbbell on the chicken who is 200 m below.
How many seconds before the airplane is directly over the chicken should Stewie drop the dumbbell? (Sommer;
6.386 seconds)
21. A Soccer ball rolls off a cliff, traveling horizontally at a speed of 2.5 m/s. It lands 5m from the base of the cliff.
How long did it’s fall last? (Moriah; 1.1059 s)
22. A stunt double launches himself horizontally off a 100m high roof, at a velocity of 4.38 m/s, onto a cushioned
landing platform. How far away must the platform be from the base of the roof? How long did it take him to hit
the platform? (Michael; 19.775m, 4.515s)
23. Cinderella became really upset with Prince Charming and launched her glass slipper off the 50 meter high
balcony and landed 20 meters from the base. At what speed was the slipper launched? (Haleigh; 6.27 m/s)
24. Princess Peach is standing on a cliff that is 6m high. She throws a mushroom horizontally towards Bowser at
22.4m/s and it hits him. How far from the bottom of the cliff was Bowser standing? (Kathleen; 24.8m)
25. If you throw a rock off the top of a 20 meter cliff at 10 m/s, how far does it travel before hitting the ground?
(Jacob; 20.2 meters)
26. Jeremy threw a ball out his window at 2.5m/s and it landed 2.53m away, how long did it take the ball to land and
how high was the window?
(Trevor; 1.01s, 5m)
27. Rachael threw a tomato off a 54m. tall building with an initial velocity of 5.7m/s with a time of 3.2 seconds. How
far away from te building did the tomato land? (Devin; 22.02m.)
28. A man launched his turban horizontally off the Taj Mahal, which is 0.073152 km tall, at a rate of 8.3 m/s (a) How
long did it take for the turban to reach the ground? (b) What is the distance from the base of the Taj Mahal to
where the turban landed? (Rajiv; 3.86 s, 32.05 m)
29. A ball is kicked off a 25m cliff with a horizontal velocity of 8m/s. How far does the ball land from the cliff
(Treven; 18.06m)
30. A car drives off a cliff horizontally with a speed of 9.3 m/s. If the cliff is 5.2 m high, how far away from the base
will the car land? If the car flips at 20.7 m, will the car crash or land? (Nicole’ 19.25 m , the car will land)
31. I ride my bike off a diving board into a pool, 5 meters in the air. Traveling at a velocity of 5 m/s. How many
seconds will it take to reach the water? (Josh; 1.01 seconds)
32. A skydiver running 1.4 m/s jumps horizontally from an airplane and reaches the ground below 75.0s later. How
high was the plane? (Becca; Height= 27590.625 m)
33. A golf ball is hit horizontally from the roof of a building and hits the ground 40m from the base. If it took the ball
3.0 seconds to fall, calculate the height of the building. (Sydne; 44.15m)
34. The quarterback of the football team wants to practice for the upcoming game. The football is thrown horizontally
off a 22 meter high hill and lands a distance of 35 meters from the edge of the hill to the receiver. Determine the
initial horizontal velocity of the football. (Adam; 16.5 m/s)
35. You kick a ball at 4.7 m/s horizontally off of a 3.6 m high roof. How much time passes before the ball hits the
ground? (Max; 0.857s)
36. A ball is thrown horizontally at a speed of 18m/s off the edge of a 50m cliff. How far from the cliff did the ball
land? (Sierra; 57.6m)
37. You're flying over the Atlantic at 200 kilometers per hour horizontally in the new plane you bought with your
friend, Jill. Jill decides she wants to take a risk and parachutes out into the water 150 meters below. How long will
it take your friend to hit the water? (Jessi; 5.53 s)
38. A kitten jumps horizontally off a 1.3 m tall couch with an initial velocity of 3.2 m/s. How far from the couch will
the kitten land? (Lissa; 1.6 m)
39. A dog jumps horizontally from a couch that is .63 meters tall. The dog jumps off with a speed of 1.8 m/s. How far
from the base of the couch did the dog land? (Sarah; 0.65 m)
40. A baseball player is standing on a hill and threw a baseball 21.4 m/s from the top of the hill. The ball lands 41.0m
from the bottom of the hill. How high is the hill? (Marissa; 18.08m)
41. A person decides to go cliff diving. If they jump horizontally off a 50.0 m high cliff. How fast will the diver to hit
the water if they land 20.0 m from the base of the cliff? (Kayla; 6.27 m/s)
42. Asia decided that physics was too hard so she dropped out of school and went cliff diving. If she jumped off of a
23 meter high cliff going 33 m/s how long did it take her to reach the water below and how far from the base of
the cliff did she land? (Asia; 2.17 s, 48.5m)
43. A wolf is sprinting 11 m/s when it runs straight off a 4.7 m ledge, how far away from the base of the ledge will
the wolf land? (Taylor; 10.78 m)
44. A lion runs at 15m/s straight off a 5.3m cliff. How far away from the base of the cliff does the lion land? (Bryan;
15.6m)
45. A lonely cave man was sitting against a boulder on the edge of a cliff. suddenly the boulder started to roll. The
boulder was almost perfectly round and therefore rolled off the cliff. The cliff was 32 m high, the boulder
weighed 1,346 kg, and was moving at 2.34 m/s when it rolled off the edge. What was the horizontal distance from
the edge of the cliff to where the boulder landed? (James; 6.1 m)
46. Flynn came to hang out and watch Netflix with Rapunzel Friday night. She threw her hair down at a horizontal
speed of 6.32 m/s. Her hair hit the ground 3.7 seconds later. How high is Rapunzel's tower? (Jenna; 23.384 m)
47. A person is launched horizontally from the roof of the Empire State Building which is 443m tall. If the person
lands 75m from the base of the building what was the person's final velocity? (Brian; -131.8m/s )
48. Jerry the Mouse pushes a bowling ball horizontally off a 20m cliff. How fast must the bowling ball leave the cliff
if it is to land 70m from the base of the cliff. (Marquese; 34.65m/s)
49. A couple was kayaking down a rough stream in the new Electric Kayak 2000. All of a sudden the couple
approached a waterfall. The kayak glitches with technical difficulties, sending the couple horizontally off a 70 m
cliff. They landed 115 m from the base of the fountain. How fast did the Electric Kayak 2000 leave the cliff?
(Gabby; 30.5 m/s)
50. Caleb is sitting on top of his house at 120m above the ground. He throws a ball horizontally at 14m/s. How far
does it travel horizontally before it hits the ground? (Patrick; 2.83m)
51. A skydiver's jump height is 4,200 meters above the earth. If he had a velocity of 60m/s, how far did he land from
where he jumped? (Ashley; 29.26 meters)
52. A professional diver makes his final dive off the high jump, 15 meters up. He leaps off the board at an initial
horizontal velocity of 2 m/s and hits the water 2.5 seconds later. How far from the base did the diver hit the
water? (Nick; 5 meters)
53. Jack Skellington is standing on a cliff 78 m high. He throws a pumpkin horizontally with a speed of 15 m/s. How
long did it take to reach the ground? How far from the base of the cliff did the pumpkin land? (Avonna; 3.98 s,
59.8 m)
54. A rocket was launched from a 10 meter cliff by an infantry unit with an initial velocity of 2100 m/s, predict how
long it will take the rocket to strike the enemy base and find the distance between the cliff’s edge and the enemy
base. (Troy; 1.42s Distance: 2982)
55. The cross-country team decided to go cliff jumping at Madison Lakes. Jared ran at 5m/s off the cliff and landed in
the water 17m from the base of the cliff. What was his velocity entering the water? (Travis; -33.354m/s)
56. Tichael Murner was the worst, most terrible, and annoying soccer player on the planet. After practice, he kicked a
soccer ball at a horizontal speed of 1.58 m/s off of a small hill, which was his hardest kick ever! After this weak
kick, the ball landed 0.67 seconds later. How high was the hill? (Antoinette; 1.06 m)
57. Object launched from a 35m cliff at 20m/s. How far from the bad has it gone when it reaches the ground.
(Connor; 53 m)
58. A hyena jumps off of a 6 m cliff and lands 14 m from the base. How fast was it going when it jumped off of the
cliff? (Jackie; 12.7 m/s)
59. Kris threw a ball off a 40 meter building and it landed 50 meters away from the building. How fast was the ball
falling? (Austin; 12.53 m/s)
60. A mother kangaroo jumps at an angle of 54 degrees to seize her Joey from the other side of a cliff. The two cliffs
are 10m away from each other. What is the initial velocity?(Jennedie; 10.14m)
61. A motocross finalist on a dirt bike drives horizontally off of a 70.0 m high cliff. How fast does the dirt bike have
to leave the top of the cliff if it were to land on level ground, 120.0 m from the base of the cliff to where the finish
line is?
(Alexis; 31.7654 m/s)
62. A man named Bob is standing on the top of a 5m tall structure. Bob kicks a ball off of the edge at 4.6 m/s. How
far away did the ball land? (Jesse; The ball lands 4.64m away.)
63. Hunter launches himself horizontally off of his roof at a speed of 6.7 m/s, hoping to land on a nice, soft mattress.
The roof is located 17.6 m above the ground. How far from the base must the mattress be in order for Hunter to
land safely and not injure himself? (Hunter; 12.7 m)
64. Kyleigh stretches her arm out at 3 m/s forcing her pencil to slide off her desk. If the desk is 1.5 m. high, how far
will the pencil land from the foot of the desk? (Angelica; 1.7 m)
65.
Projectiles Launched at an Angle
1. A ball is fired from a cannon at an angle of 40.6 degrees above the horizontal and travels 101.7 m, what is the
initial velocity of the cannonball? (Danielle; 31.76 m/s)
2. A can is kicked at ground level with a speed of 80 km/h at an angle of 25 degrees to the horizontal. How much
later does it hit the ground? (Ariana; 1.9 seconds later.)
3. A water balloon is launched with an initial speed of 8.7 m/s at an angle of 37.4 degrees above the horizontal. It
lands 1.8 seconds later. How far away does the water balloon land?
(Dani; 12.44 meters)
4. A football is kicked with a speed of 21.7 meters/second at an angle of 42 degrees to the horizontal. The ball hits
the ground 2.9 seconds later. How far away from the kicker is the ball when it hits the ground and at what speed
does the ball hit the ground?
(Jocelyn; Answer- 46.77 meters and -13.93 meters/second)
5. A stunt car for the next Fast and Furious movie drives off a ramp 43.0° N of E at 152 km/hr. If the cliff is 92 m
tall, how long did it take for the car to hit the ground? (Doug; 8.17 s)
6. A ball is kicked 13.2m at an angle of 32 degrees to the horizon. At what velocity was the ball kicked? Hint: Range
(Alex; 12.0 m/s)
7. A football is kicked at an angle of 40 degrees with a velocity of 30 m/s Calculate the maximum height. (Bryce;
Answer: 20.8 m)
8. A fire work is launched from a 2.3m platform at a 39.6° angle and explodes at the 34.3m mark. How long does it
take to explode? (Lydia; T = 1.3s)
9. A clown is launched out of a stunt cannon from ground level at an angle of 40 degrees and a velocity of 30 m/s.
How long does the clown take to reach max height, and how long does it take for the clown to land safely in its
net? (Kyleigh; 1.96 seconds to max height, 3.93 seconds total)
10. A ball is shot out of a cannon from the ground at an angle of 45 degrees with a velocity of 30 m/s. a) find the max
height. b)how long the ball takes to hit the ground. c) and how far away from the initial position did the ball
travel. (Brian; X=22.95m, t=4.32s, x=91.627m)
11. The cross country team decided to TP TA's house on Halloween. They slingshotted the toilet paper at a 47.9°
angle with an initial velocity of 5m/s. It landed 13 m away, on the opposite side of his house. How long did it take
for the toilet paper to reach the ground? (Muskan; t= 3.378 s)
12. If Jimmy were to kick a soccer ball 21m/s at an angle of 37, what would be the max height? (Javan; 8.13m)
13. A projectile is fired with an initial speed of 46.5 m/s at an angle of 29 degrees. What was the horizontal distance
(range) covered? (Tylan; 43.934 meters)
14. A pumpkin is catapulted from the ground at a 62 degree angle above the horizontal at a velocity of 88 m/s. What
is the time it takes for the squash to make it's impact? What is its horizontal distance? (Bethany; 15.84 s, 654.398
m)
15. Peter was kicking a soccer ball to Quagmire at a 37 ° angle at 2.9 m/s when it landed on the Quagmire's foot. How
far away was Quagmire standing and how long did it take the soccer ball to reach his foot? (Molly; 0.82 m away,
0.36 sec)
16. A goalie kicks a soccer ball 35* above the horizontal at 25 m/s. How far does the soccer ball go? What's the time
the ball is in the air? (Spencer; X=59.88m; T=2.924s)
17. Jimmy decides to construct a giant slingshot to launch a projectile as far as he can. To test his slingshot, he sets it
at a 45 degree angle at the end of his school's football field. If the projectile travels 63 meters, at what velocity did
it leave the slingshot? (Sara; 24.9 m/s)
18. Josh kicks a ball at 21.0 m/s at an angle of 35°. How far did he kick the ball? (Dylan; Answer: 21.12693 m or
21.13 m)
19. A sick kangaroo jumps and leaves the ground at an initial speed of 5.22 m/s at an angle of 23° to the horizontal.
What is the maximum height achieved? (Kiersten; .212 m)
20. Messi kicks a soccer ball from the ground at an angle of 30 degrees with an initial velocity of 20 m/s. How far did
he kick the ball? (Sommer; 17.65 m)
21. A Football is kicked horizontally at a 40 degree angle, traveling at a velocity of 7.5m/s before landing 15m away.
How long did it take for the ball to travel? (Moriah; .0979s)
22. A soccer player kicks a ball at 34.5 degree angle with a velocity of 17m/s. Find A.the maximum height of the ball,
B.how far away it landed, and C.how long it took for the ball to travel that distance. (Michael; 4.82m, 27.50m,
1.963s)
23. Belle and the Beast were playing a game of kickball. Belle rolled the ball to the beast and he kicked it with an
initial velocity of 7 m/s at 52 degrees above the horizontal. How many seconds until the ball landed back on the
ground? (Haleigh; 1.12 seconds)
24. Sebastian tries to escape Grell’s sight by diving off the roof of the 4m building he is currently on. If Sebastian is
going 2.6m/s at 50° S of W, A)how long did Sebastian take to complete this action? B)how long will it take Grell
to travel the same distance while moving at 1.8m/s, 50° S of W? (Kathleen; A) 0.72s, B) 0.77s)
25. If a football is kicked at an angle of 37 degrees North of East at a velocity of 15 m/s, how far does it travel?
(Jacob; 47.2 meters)
26. Andrew kicked a ball at ground level with a speed of 18m/s at an angle of 32 degrees above the horizontal, how
far did the ball go and how long was it in the air? (Trevor; 2.81m, 0.18s)
27. ohnny threw a tennis ball off a 64m. tall building at an angle of 40 degrees. The ball landed 25m. away from the
building with a velocity of 20 m/s. How long does the tennis ball take to land? (Devin; 1.63 seconds)
28. A man launched his turban 34 degrees above the horizontal at a rate of 11.2 m/s. The turban landed 17 m from
the base of the building. (a) What was the height of which the turban initially started? (b) What is the final
velocity of the turban traveling vertically? (Rajiv; x= 10.0 m, v=15.34 m/s)
29. A stunt car drives off a 50m cliff at an angle of 12 degrees N of E at a velocity of 30m/s. How long will it take
before the car reaches the ground? (Treven; 3.89s)
30. A human was sleeping peacefully in their house when they heard a cricket. They jolt out of bed and grab the
nearest newspaper to kill it. They miss the cricket as it jumped 22.1 m/s at an angle of 37.0 degrees. How long
was the cricket in the air? (Nicole; 1.01s)
31. I launch a cannonball at an angle of 45 degrees with a velocity of 600 m/s. (Josh; 18,345.0024 m)
32. During a PK kick, a soccer ball is kicked at ground level with a velocity of 10 m/s at an angle of 28.0 to the
horizontal. What was its maximum height? (Becca; 3.97 m)
33. A dog jumping for a ball leaves the ground at a 42° angle with a velocity of 16.0 m/s. FInd the dog’s final velocity
and how far away it landed from its starting point if it landed .46 seconds later. (Sydne; 8.46m/s, 5.47m)
34. Adam strikes a tennis ball with an initial velocity of 12 m/s at an angle of 28 degrees above the horizontal.
Determine the time that the tennis ball remained in flight before reaching the ground. (Adam; 1.1 s)
35. You kick a ball at an angle of 37 degrees at 3.1 m/s. a. How long is it before it hits the ground? (0.381 s) b. How
far does it land from you? (0.9433 m) c. What was its highest point? (0.355 m)
36. A projectile is launched at a 20 degree angle and it travels 15m. What was the take off speed? (Sierra; 14.66m/s)
37. A soccer player kicks a ball at ground level at a speed of 27.5 m/s at an angle of 42.9 degrees to the horizontal.
What is the maximum height reached by the ball? (Jessi; 17.87 m)
38. A lemming jumps off a cliff at a 43.7° angle to the horizontal with a speed of 2.3 m/s. Calculate the height of the
cliff if the lemming lands 3 m from the base. (Lissa; 18.8 m)
39. A high school soccer player kicks the ball at an angle of 43 degrees with a velocity of 31.5 m/s. Find the time the
soccer ball was in the air before it touched the ground and find the maximum height of the ball. (Sarah; 4.38 s;
23.52 m)
40. A soccer ball is kicked at 8.3 m/s at an angle of 55 degrees to the horizontal. How long does it take the soccer ball
to hit the ground? (Marissa; 1.38s)
41. A soccer ball is kicked at an angle of 41.5 degrees at a speed of 20.0 m/s. What is the maximum height the ball
reached? (Kayla; 8.95m)
42. There is new amusement park ride being tested. If people are launched from a giant slingshot 47 degrees above
the horizontal at 63 m/s will they land safely on the landing pad 116 meters away? If not then now many meters
short of the landing pad are they? (Asia; no, 22 meters short)
43. The same wolf is approaching the same 4.7 m ledge, this time at 12 m/s. Now aware of the ledge, the wolf jumps
at a 27.2 degree angle off of it. How far will the wolf land from the base of the ledge? (Taylor; 6.08 m)
44. A lion jumps off a 4.7m cliff at 9m/s, 40° north of the horizontal. How far from the base of the cliff does the lion
land? (Bryan; 11.95m)
45. A football player kicks off. The ball leaves the ground at a 35 degree angle going 20 m/s. How far downfield
does the ball land? (James; 35 m)
46. Prince Naveen leaped up to kiss Tiana at an angle of 40.2 degrees with a velocity of 6.58 m/s. How long until
Prince Naveen landed back onto the lily pad? (Jenna; 0.865 seconds)
47. A football is kicked from ground level with a speed of 15.0m/s at an angle of 44 degrees to the horizontal. What is
its max height and how long does it take for the ball to hit the ground? (Brian; 5.8m, 2.12s)
48. Cristiano Ronaldo kicks a soccer ball at an angle of 37 degrees with a velocity of 20m/s. (a) What is the max
height the ball went and (b) how far away it hits the ground. (Marquese; (a)(7.38m); (b)(39.2m))
49. A man jumps over a puddle on his way to work but accidentally kicks a pigeon who was taking a bath in the
puddle. The pigeon left the mans foot at a 47 degree angle with a velocity of 7 m/s. How long does it take the
pigeon to hit and ground and how far will it travel? (Gabby; 0.52 sec, 2.48 m)
50. Tony is playing soccer with his friends. He kicks the ball at 32° with an initial velocity of 8.6m/s. How far does
the ball travel before it hits the ground? (Patrick; 6.776m)
51. A bird flies from a tree branch 2 meters above the ground at a 40 degree angle, north of east, with a velocity of
9m/s before sailing to the ground. How far away from the tree did the bird land? (Ashley; 10.06 meters)
52. The rookie hit his first homerun 400 feet. The ball left his bat at 50 m/s at an angle of 45°. How long was the ball
in the air? (Nick; 11.3 seconds)
53. A ghost throws a zombies foot with a velocity of 13 m/s at 52 degrees. How long does it take for the foot to hit
the ground and how far away does it land? (Avonna; 1.04 s, 8.35 m)
54. Green Arrow fires an arrow to latch onto an escaping helicopter at an angle of 50 degrees with an initial velocity
of 100 m/s. Determine the flight time, and the horizontal displacement. (Troy; 12.45s Displacement: 1245 m)
55. Lane launched a baseball at an angle of 43° to the horizontal. The ball travelled 84m before reaching the height at
which it was initially thrown. What was the initial velocity of the baseball? (Travis; 28.741m/s)
56. Spongebob and Patrick are at the Krusty Krab eating Krabby Patties. Since it was Spongebob's day off,
Squidward was cooking the patties. One bite into it, Spongebob realized how disgusting and burnt it was and he
tossed it towards the trash can at an angle of 52 degrees with a velocity of 3.89 m/s. How long did it take for it to
reach the trash can ? (Antoinette; 0.626 s)
57. Rocket launched at 30° at 10m/s how far does it travel. (Connor; 8.83 m)
58. A shark jumps out of the water at an angle of 27.4° with a velocity of 14 m/s. Jacob Miller is on a boogey board
floating in the ocean. The shark jumps out of the water 2 m in front of him. Jacob is 1.77 m long. How far away
from Jacob's feet did the shark land? (Jackie; 12.4 m)
59. A soccer ball was kicked at an angle of 27 degrees with a velocity of 25.0 m/s. Calculate the time before the
soccer ball hits the ground. (Austin; 1.157 s)
60. A stork is traveling 15m/s 105m above the ground. How far has the stork traveled when the baby hits the ground?
(Jennedie; 69.45m)
61. A soccer ball is kicked at an angle of theta = 45.0 degrees with a velocity of 40.0 m/s. Calculate a) the maximum
height, b) the time it takes for the soccer ball to hit the ground, c) how far away it hits the ground, d) the velocity
vector at the maximum height, and e) the acceleration vector at maximum height. Assume the ball leaves the foot
at ground level. (Alexis) A) 71.5707 M
C) 101.6441 M
B) 2.9486 S
D)28.9254 M/S
E)34.4720 M/S
62. Bob gets his ball back, but this time he wants to kick it to his friend who is 12m away and is 5m high. He kicks
the ball at an angle of 18 degrees. What is the initial velocity Bob has to kick it with? (Jesse; He has to kick it at
14.1519 m/s)
63. Hunter stands on a cliff located 133.6 m above the ground. He throws a football at a speed of 10.4 m/s at an angle
of 34.2 degrees above the horizontal. (Hunter)
a.) How long does it take for the football to land?
(4.7 s)
b.) How far from the base of the cliff does the football land?
(40.4 m)
64. Doug has been stuck on problem 36 for 20 min. Frustrated, he throws his physics book out the window of his two
story house (6 m). If it lands 8 m. from the foot of his house, how long does he tell TA it was in the air while he's
explaining the damage done to his book if he threw it at a 45 degree angle above the horizontal at 5 m/s?
(Angelica; 2.3s)
65.