Physics 432
2-D Motion
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PROJECTILE PACKET
1. You drop a water balloon from a 5 meter tall ledge.
a. How long does the balloon take to reach the ground?
b. How fast is the balloon going when it strikes?
c. If the balloon also had a horizontal velocity of 5 m/s, what is
magnitude and direction of the horizontal and initial vertical velocities
combined.
2. A potato is shot horizontally out of a cannon with a speed of 60 m/s at a
target 70 meters away.
a. How long does the potato take to travel the horizontal distance?
b. How far will the potato have fallen when it has reached the target?
3. A dart is shot horizontally out of a blowgun at a target 10 meters away and
it has dropped 0.75 meters by the time it reaches the target.
a. How long does it take to fall a distance of 0.75 m?
b. How fast is the dart traveling when it leaves the gun?
4. Freddie Mercury wants to ride his bicycle at 10 m/s at heading 40°NE. How
much of his velocity is north and how much is east?
5. A fall squash is launched at an angle of 30° upwards with an initial speed of 8
m/s.
a. How much of the velocity is upwards?
b. How much of the velocity is horizontal?
c. Based on the initial upwards velocity, how much time will it take to
reach it’s maximum height?
d. How high will it go in this time?
e. Based on this time how far will the object travel horizontally?
6. A bullet is fired horizontally at a target 50 meters away and it has dropped
0.5 meters by the time it reaches the target.
a. How long does it take to drop?
b. How fast is the bullet traveling horizontally?
7. A tennis ball is launched into the air off the ground at an angle of 37° with a
velocity of 5 m/s.
a. What is the ball’s initial y (vertical) velocity? Hint: Draw the vector!
b. What is the ball’s initial x (horizontal) velocity? Hint: Draw the
vector!
c. What is the total time the ball is in the air?
d. How far has the ball gone in that time, horizontally?
8. A cliff diver jumps out horizontally at 3 m/s from a 25 meter tall cliff.
Below him, rocks extend from the base of the cliff for 5 meters. Will the
diver clear the rocks?
9. Bart Simpson has made the decision that it is high time to launch a water
balloon at his principal’s window. If he launches it at 30°NW at a distance of
46 m, how far north did the balloon travel? How far west?
10. Fred Flinstone drives 12 m/s south and 23 m/s east. What is the resultant
magnitude and direction of his car?
11. A stone is thrown 8.0 m/s at a 67°angle with the horizontal.
a. What is the vertical velocity?
b. What is the horizontal velocity?
c. How long did it take the stone to reach its maximum height?
d. What is the maximum height of the baseball?
e. How far away horizontally did the stone land?
12. A mortar shell is fired at an angle of 53° with a speed of 98 m/s.
a. How long is the shell in the air?
b. How far away will it land before hitting the ground (horizontally)?
c. What is the maximum height of the mortar shell?
13. Julie is playing the egg toss game with Tim. How far away do Tim and Julie
need to stand if the launch the egg at a 25 angle with a velocity of 4.5 m/s.
14. On the golf course, Bill tees off at a 424 meter hole. If he shoots swings
his golf club at a 40 angle with a velocity of 65 m/s, how close to the hole
will Bill end up on his first shot?