Physics 11
Form: 1
Chapter ¾ Extra Help
Name:
Solutions
Chapter 3:
1.
a)
b)
c)
Subtract the following vectors:
8.0 m [W] 4.0 m [S]
8.9 m [27o N of W]
A river is 80.0 m wide and flowing at 5.00 m/s [E]. A boat is used that travels at 12.0 m/s with respect
to the water. If the boater just aims straight across[N],
Determine their velocity wrt the ground
13.0 m/s [23o E of N]
Determine the time to cross the river
6.67 s
Determine the distance downstream that they land 33.3 m
3.
a)
b)
c)
If the same boat as in question #2 is captained by a smart boater,
Determine the angle the boat must point to travel exactly to the other side 25o
Determine their speed with respect to the ground.
10.9 m/s
Determine the time required to cross the river
7.33 s
4.
A plane has an airspeed of 80 km/h and flies in a wind of 25 km/h [to the west]. If the plane must fly to
a destination that is 35o N of E and 120 km away,
Determine their required heading
drift angle=10o
[25o N of E]
Determine their ground speed
58.2 km/h
Determine the flying time in hours
2.06 h
2.
a)
b)
c)
Chapter 4:
Using “g”
5.
A marble is thrown up into the air at 24.0 m/s. Determine how far it has fallen in 2.80 s.
28.8 m
6.
A car starts at the top of an 18.0 m long hill that drops 3.50 m. It starts at the top with a speed of 4.50
m/s. How fast is it going after it has gone 12.0 m down the hill?
a=1.91 m/s2
vf=8.12 m/s
7.
A pendulum needs to make 45.0 cyles in 205 s. How long should it be?
5.15 m
Finding “g”
A marble released from rest takes 3.88 s to fall 70.0 m. Determine “g”.
9.30 m/s2
9.
A car starts from rest at the top of a 20.0 m long hill that drops 4.00 m. It takes 4.60 s to reach the
bottom. Determine “g”
a=1.89 m/s2
g=9.45 m/s2
10.
A pendulum on the Moon that is 4.70 m long takes 364 s to cycle 34.0 times. Determine “g” on the
Moon.
1.62 m/s2
Projectiles:
8.
11.
12.
A marble rolls horizontally at 3.20 m/s off of a table that is 1.25 m high. How far from the base of the
table does it land?
t=0.505 s
d=1.62 m
A car that is traveling horizontally off of a cliff that is 8.40 m tall. It hits the ground 28.0 m from the
base of the cliff. How fast was it traveling?
t=1.31 s
v=21.4 m/s
Physics 11
Form: 2
Chapter ¾ Extra Help
Name:
Solutions
Chapter 3:
1.
a)
b)
c)
Subtract the following vectors:
9.0 m [W] 3.0 m [S]
9.5 m [18o N of W]
A river is 60.0 m wide and flowing at 6.00 m/s [E]. A boat is used that travels at 12.0 m/s with respect
to the water. If the boater just aims straight across[N],
Determine their velocity wrt the ground
13.4 m/s [27o E of N]
Determine the time to cross the river
5.00 s
Determine the distance downstream that they land 30.0 m
3.
a)
b)
c)
If the same boat as in question #2 is captained by a smart boater,
Determine the angle the boat must point to travel exactly to the other side 30o
Determine their speed with respect to the ground.
10.4 m/s
Determine the time required to cross the river
5.77 s
4.
A plane has an airspeed of 80 km/h and flies in a wind of 25 km/h [to the west]. If the plane must fly to
a destination that is 40o N of E and 120 km away,
Determine their required heading
drift angle=12o
[28o N of E]
Determine their ground speed
59.2 km/h
Determine the flying time in hours
2.03 h
2.
a)
b)
c)
Chapter 4:
Using “g”
5.
A marble is thrown up into the air at 20.0 m/s. Determine how far it has fallen in 2.80 s.
17.6 m
6.
A car starts at the top of an 15.0 m long hill that drops 3.50 m. It starts at the top with a speed of 5.00
m/s. How fast is it going after it has gone 10.0 m down the hill?
a=2.29 m/s2
vf=8.41 m/s
7.
A pendulum needs to make 55.0 cyles in 196 s. How long should it be?
3.15 m
Finding “g”
A marble released from rest takes 4.20 s to fall 85.0 m. Determine “g”.
9.64 m/s2
9.
A car starts from rest at the top of a 24.0 m long hill that drops 5.00 m. It takes 4.78 s to reach the
bottom. Determine “g”
a=2.10 m/s2
g=10.08 m/s2
10.
A pendulum on the Moon that is 5.50 m long takes 440 s to cycle 38.0 times. Determine “g” on the
Moon.
1.62 m/s2
Projectiles:
8.
11.
12.
A marble rolls horizontally at 3.40 m/s off of a table that is 1.10 m high. How far from the base of the
table does it land?
t=0.474 s
d=1.61 m
A car that is traveling horizontally off of a cliff that is 6.50 m tall. It hits the ground 26.0 m from the
base of the cliff. How fast was it traveling?
t=1.15 s
v=22.6 m/s
Physics 11
Form: 3
Chapter ¾ Extra Help
Name:
Solutions
Chapter 3:
1.
a)
b)
c)
Subtract the following vectors:
6.5 m [W] 4.0 m [S]
7.6 m [32o N of W]
A river is 50.0 m wide and flowing at 6.00 m/s [E]. A boat is used that travels at 12.0 m/s with respect
to the water. If the boater just aims straight across[N],
Determine their velocity wrt the ground
13.4 m/s [27o E of N]
Determine the time to cross the river
4.17 s
Determine the distance downstream that they land 25.0 m
3.
a)
b)
c)
If the same boat as in question #2 is captained by a smart boater,
Determine the angle the boat must point to travel exactly to the other side 30o
Determine their speed with respect to the ground.
10.4 m/s
Determine the time required to cross the river
4.81 s
4.
A plane has an airspeed of 80 km/h and flies in a wind of 25 km/h [to the west]. If the plane must fly to
a destination that is 35o N of E and 120 km away,
Determine their required heading
drift angle=10o
[25o N of E]
Determine their ground speed
58.2 km/h
Determine the flying time in hours
2.06 h
2.
a)
b)
c)
Chapter 4:
Using “g”
5.
A marble is thrown up into the air at 22.0 m/s. Determine how far it has fallen in 2.80 s.
23.2 m
6.
A car starts at the top of an 16.0 m long hill that drops 3.50 m. It starts at the top with a speed of 5.50
m/s. How fast is it going after it has gone 12.0 m down the hill?
a=2.14 m/s2
vf=9.04 m/s
7.
A pendulum needs to make 60.0 cyles in 145 s. How long should it be?
1.45 m
Finding “g”
A marble released from rest takes 4.25 s to fall 85.0 m. Determine “g”.
9.41 m/s2
9.
A car starts from rest at the top of a 25.0 m long hill that drops 2.00 m. It takes 8.00 s to reach the
bottom. Determine “g”
a=0.78 m/s2
g=9.77 m/s2
10.
A pendulum on the Moon that is 8.10 m long takes 478 s to cycle 34.0 times. Determine “g” on the
Moon.
1.62 m/s2
Projectiles:
8.
11.
12.
A marble rolls horizontally at 3.80 m/s off of a table that is 2.00 m high. How far from the base of the
table does it land?
t=0.639 s
d=2.43 m
A car that is traveling horizontally off of a cliff that is 5.00 m tall. It hits the ground 28.0 m from the
base of the cliff. How fast was it traveling?
t=1.01 s
v=27.7 m/s
Physics 11
Form: 4
Chapter ¾ Extra Help
Name:
Solutions
Chapter 3:
1.
a)
b)
c)
Subtract the following vectors:
9.5 m [W] 5.0 m [S]
10.7 m [28o N of W]
A river is 50.0 m wide and flowing at 7.00 m/s [E]. A boat is used that travels at 12.0 m/s with respect
to the water. If the boater just aims straight across[N],
Determine their velocity wrt the ground
13.9 m/s [30o E of N]
Determine the time to cross the river
4.17 s
Determine the distance downstream that they land 29.2 m
3.
a)
b)
c)
If the same boat as in question #2 is captained by a smart boater,
Determine the angle the boat must point to travel exactly to the other side 36o
Determine their speed with respect to the ground.
9.7 m/s
Determine the time required to cross the river
5.13 s
4.
A plane has an airspeed of 80 km/h and flies in a wind of 25 km/h [to the west]. If the plane must fly to
a destination that is 45o N of E and 120 km away,
Determine their required heading
drift angle=13o
[32o N of E]
Determine their ground speed
60.3 km/h
Determine the flying time in hours
1.99 h
2.
a)
b)
c)
Chapter 4:
Using “g”
5.
A marble is thrown up into the air at 25.0 m/s. Determine how far it has fallen in 2.80 s.
31.6 m
6.
A car starts at the top of an 17.0 m long hill that drops 3.50 m. It starts at the top with a speed of 6.00
m/s. How fast is it going after it has gone 10.0 m down the hill?
a=2.02 m/s2
vf=8.74 m/s
7.
A pendulum needs to make 65.0 cyles in 145 s. How long should it be?
1.24 m
Finding “g”
A marble released from rest takes 4.30 s to fall 89.0 m. Determine “g”.
9.63 m/s2
9.
A car starts from rest at the top of a 20.0 m long hill that drops 5.00 m. It takes 4.50 s to reach the
bottom. Determine “g”
a=1.98 m/s2
g=7.90 m/s2
10.
A pendulum on the Moon that is 4.70 m long takes 364 s to cycle 34.0 times. Determine “g” on the
Moon.
1.62 m/s2
Projectiles:
8.
11.
12.
A marble rolls horizontally at 3.70 m/s off of a table that is 2.20 m high. How far from the base of the
table does it land?
t=0.670 s
d=2.48 m
A car that is traveling horizontally off of a cliff that is 6.00 m tall. It hits the ground 28.0 m from the
base of the cliff. How fast was it traveling?
t=1.11 s
v=25.3 m/s
Physics 11
Form: 5
Chapter ¾ Extra Help
Name:
Solutions
Chapter 3:
1.
a)
b)
c)
Subtract the following vectors:
7.5 m [W] 5.0 m [S]
9.0 m [34o N of W]
A river is 70.0 m wide and flowing at 7.00 m/s [E]. A boat is used that travels at 14.0 m/s with respect
to the water. If the boater just aims straight across[N],
Determine their velocity wrt the ground
15.7 m/s [27o E of N]
Determine the time to cross the river
5.00 s
Determine the distance downstream that they land 35.0 m
3.
a)
b)
c)
If the same boat as in question #2 is captained by a smart boater,
Determine the angle the boat must point to travel exactly to the other side 30o
Determine their speed with respect to the ground.
12.1 m/s
Determine the time required to cross the river
5.77 s
4.
A plane has an airspeed of 80 km/h and flies in a wind of 25 km/h [to the west]. If the plane must fly to
a destination that is 50o N of E and 150 km away,
Determine their required heading
drift angle=14o
[36o N of E]
Determine their ground speed
61.6 km/h
Determine the flying time in hours
2.43 h
2.
a)
b)
c)
Chapter 4:
Using “g”
5.
A marble is thrown up into the air at 26.0 m/s. Determine how far it has fallen in 1.70 s.
30.0 m
6.
A car starts at the top of an 18.0 m long hill that drops 4.00 m. It starts at the top with a speed of 4.00
m/s. How fast is it going after it has gone 11.0 m down the hill?
a=2.18 m/s2
vf=7.99 m/s
7.
A pendulum needs to make 70.0 cyles in 145 s. How long should it be?
1.07 m
Finding “g”
A marble released from rest takes 4.35 s to fall 93.0 m. Determine “g”.
9.83 m/s2
9.
A car starts from rest at the top of a 20.0 m long hill that drops 6.00 m. It takes 3.90 s to reach the
bottom. Determine “g”
a=2.63 m/s2
g=8.77 m/s2
10.
A pendulum on the Moon that is 6.80 m long takes 515 s to cycle 40.0 times. Determine “g” on the
Moon.
1.62 m/s2
Projectiles:
8.
11.
12.
A marble rolls horizontally at 3.60 m/s off of a table that is 2.20 m high. How far from the base of the
table does it land?
t=0.670 s
d=2.41 m
A car that is traveling horizontally off of a cliff that is 6.50 m tall. It hits the ground 20.0 m from the
base of the cliff. How fast was it traveling?
t=1.15 s
v=17.4 m/s
Physics 11
Form: 6
Chapter ¾ Extra Help
Name:
Solutions
Chapter 3:
1.
a)
b)
c)
Subtract the following vectors:
7.0 m [W] 5.0 m [S]
8.6 m [36o N of W]
A river is 70.0 m wide and flowing at 8.00 m/s [E]. A boat is used that travels at 14.0 m/s with respect
to the water. If the boater just aims straight across[N],
Determine their velocity wrt the ground
16.1 m/s [30o E of N]
Determine the time to cross the river
5.00 s
Determine the distance downstream that they land 40.0 m
3.
a)
b)
c)
If the same boat as in question #2 is captained by a smart boater,
Determine the angle the boat must point to travel exactly to the other side 35o
Determine their speed with respect to the ground.
11.5 m/s
Determine the time required to cross the river
6.09 s
4.
A plane has an airspeed of 80 km/h and flies in a wind of 25 km/h [to the west]. If the plane must fly to
a destination that is 25o N of E and 150 km away,
Determine their required heading
drift angle=8o
[17o N of E]
Determine their ground speed
56.6 km/h
Determine the flying time in hours
2.65 h
2.
a)
b)
c)
Chapter 4:
Using “g”
5.
A marble is thrown up into the air at 27.0 m/s. Determine how far it has fallen in 1.70 s.
31.7 m
6.
A car starts at the top of an 15.0 m long hill that drops 5.00 m. It starts at the top with a speed of 3.50
m/s. How fast is it going after it has gone 12.0 m down the hill?
a=3.27 m/s2
vf=9.52 m/s
7.
A pendulum needs to make 72.0 cyles in 206 s. How long should it be?
2.03 m
Finding “g”
A marble released from rest takes 3.88 s to fall 68.0 m. Determine “g”.
9.03 m/s2
9.
A car starts from rest at the top of a 20.0 m long hill that drops 7.00 m. It takes 3.50 s to reach the
bottom. Determine “g”
a=3.27 m/s2
g=9.33 m/s2
10.
A pendulum on the Moon that is 6.70 m long takes 511 s to cycle 40.0 times. Determine “g” on the
Moon.
1.62 m/s2
Projectiles:
8.
11.
12.
A marble rolls horizontally at 3.40 m/s off of a table that is 2.40 m high. How far from the base of the
table does it land?
t=0.700 s
d=2.38 m
A car that is traveling horizontally off of a cliff that is 5.50 m tall. It hits the ground 22.0 m from the
base of the cliff. How fast was it traveling?
t=1.06 s
v=20.8 m/s
Physics 11
Form: 7
Chapter ¾ Extra Help
Name:
Solutions
Chapter 3:
1.
a)
b)
c)
Subtract the following vectors:
7.2 m [W] 3.0 m [S]
7.8 m [23o N of W]
A river is 80.0 m wide and flowing at 8.00 m/s [E]. A boat is used that travels at 14.0 m/s with respect
to the water. If the boater just aims straight across[N],
Determine their velocity wrt the ground
16.1 m/s [30o E of N]
Determine the time to cross the river
5.71 s
Determine the distance downstream that they land 45.7 m
3.
a)
b)
c)
If the same boat as in question #2 is captained by a smart boater,
Determine the angle the boat must point to travel exactly to the other side 35o
Determine their speed with respect to the ground.
11.5 m/s
Determine the time required to cross the river
6.96 s
4.
A plane has an airspeed of 80 km/h and flies in a wind of 25 km/h [to the west]. If the plane must fly to
a destination that is 20o N of E and 150 km away,
Determine their required heading
drift angle=6o
[14o N of E]
Determine their ground speed
56.0 km/h
Determine the flying time in hours
2.68 h
2.
a)
b)
c)
Chapter 4:
Using “g”
5.
A marble is thrown up into the air at 30.0 m/s. Determine how far it has fallen in 1.70 s.
36.8 m
6.
A car starts at the top of an 16.0 m long hill that drops 4.00 m. It starts at the top with a speed of 4.50
m/s. How fast is it going after it has gone 13.0 m down the hill?
a=2.45 m/s2
vf=9.16 m/s
7.
A pendulum needs to make 80.0 cyles in 246 s. How long should it be?
2.35 m
Finding “g”
A marble released from rest takes 3.88 s to fall 72.0 m. Determine “g”.
9.57 m/s2
9.
A car starts from rest at the top of a 20.0 m long hill that drops 5.00 m. It takes 4.20 s to reach the
bottom. Determine “g”
a=2.27 m/s2
g=9.07 m/s2
10.
A pendulum on the Moon that is 5.50 m long takes 463 s to cycle 40.0 times. Determine “g” on the
Moon.
1.62 m/s2
Projectiles:
8.
11.
12.
A marble rolls horizontally at 3.10 m/s off of a table that is 2.40 m high. How far from the base of the
table does it land?
t=0.700 s
d=2.17 m
A car that is traveling horizontally off of a cliff that is 4.50 m tall. It hits the ground 22.0 m from the
base of the cliff. How fast was it traveling?
t=0.96 s
v=23.0 m/s
Physics 11
Form: 8
Chapter ¾ Extra Help
Name:
Solutions
Chapter 3:
1.
a)
b)
c)
Subtract the following vectors:
6.0 m [W] 3.0 m [S]
6.7 m [27o N of W]
A river is 80.0 m wide and flowing at 6.00 m/s [E]. A boat is used that travels at 14.0 m/s with respect
to the water. If the boater just aims straight across[N],
Determine their velocity wrt the ground
15.2 m/s [23o E of N]
Determine the time to cross the river
5.71 s
Determine the distance downstream that they land 34.3 m
3.
a)
b)
c)
If the same boat as in question #2 is captained by a smart boater,
Determine the angle the boat must point to travel exactly to the other side 25o
Determine their speed with respect to the ground.
12.6 m/s
Determine the time required to cross the river
6.32 s
4.
A plane has an airspeed of 80 km/h and flies in a wind of 25 km/h [to the west]. If the plane must fly to
a destination that is 55o N of E and 150 km away,
Determine their required heading
drift angle=15o
[40o N of E]
Determine their ground speed
63.0 km/h
Determine the flying time in hours
2.38 h
2.
a)
b)
c)
Chapter 4:
Using “g”
5.
A marble is thrown up into the air at 18.0 m/s. Determine how far it has fallen in 1.70 s.
16.4 m
6.
A car starts at the top of an 17.0 m long hill that drops 5.00 m. It starts at the top with a speed of 4.50
m/s. How fast is it going after it has gone 14.0 m down the hill?
a=2.88 m/s2
vf=10.05 m/s
7.
A pendulum needs to make 81.0 cyles in 251 s. How long should it be?
2.38 m
Finding “g”
A marble released from rest takes 3.88 s to fall 74.0 m. Determine “g”.
9.83 m/s2
9.
A car starts from rest at the top of a 20.0 m long hill that drops 2.00 m. It takes 6.70 s to reach the
bottom. Determine “g”
a=0.89 m/s2
g=8.91 m/s2
10.
A pendulum on the Moon that is 5.20 m long takes 450 s to cycle 40.0 times. Determine “g” on the
Moon.
1.62 m/s2
Projectiles:
8.
11.
12.
A marble rolls horizontally at 3.95 m/s off of a table that is 1.25 m high. How far from the base of the
table does it land?
t=0.505 s
d=2.00 m
A car that is traveling horizontally off of a cliff that is 5.25 m tall. It hits the ground 24.0 m from the
base of the cliff. How fast was it traveling?
t=1.04 s
v=23.2 m/s