A ball of mass 0.5 kilogram, initially at rest, is kicked directly toward a fence from a point 32 meters away, as shown above. The velocity of the ball as it leaves the kicker's foot is 20 meters per second at an angle of 37° above the horizontal. The top of the fence is 2.5 meters high. The ball hits nothing while in flight and air resistance is negligible. 1994B1 Plane of Sin 37° = 0.60 Cos 37° =0.80 Tan 37° =0.75 Fence Fence 20 m/s 2.5 m 37° -32 m a. Determine the time it takes for the ball to reach the plane of the fence. Note: Diagram not drawn to scale. b. Will the ball hit the fence? If so, how far below the top of the fence will it hit? If not, how far above the top of the fence will it pass?

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11. A ball of mass 0.5 kilogram, initially at rest, is kicked directly
toward a fence from a point 32 meters away, as shown
above. The velocity of the ball as it leaves the kicker's foot
is 20 meters per second at an angle of 37° above the
horizontal. The top of the fence is 2.5 meters high. The ball
hits nothing while in flight and air resistance is negligible.
Sin 37° = 0.60
Cos 37° =0.80
Tan 37° = 0.75
Plane of
Fence
Fence
20 m/s
2.5 m
1994B1
-32 m-
a. Determine the time it takes for the ball to reach the
plane of the fence.
Note: Diagram not drawn to scale.
b. Will the ball hit the fence? If so, how far below the top of the fence will it hit? If not, how far above the top of the fence will it pass?
c. On the axes below, sketch the horizontal and vertical components of the velocity of the ball as functions of time until the ball reaches the
plane of the fence.
204
15,
10
Horizontal 5
Component
of Velocity o
(m/s)
Time (s)
0.5
1.0
1.5
2.0
2.5
3.0
3.5
4.0
--10,
--15,
-20
20
15
10
Vertical
Component
of Velocity o
(m/s)
Time (s)
0.5
1.0
1.5
2.0
2.5
3.0
3.5
4.0
-5
-10
-15
-20
Transcribed Image Text:11. A ball of mass 0.5 kilogram, initially at rest, is kicked directly toward a fence from a point 32 meters away, as shown above. The velocity of the ball as it leaves the kicker's foot is 20 meters per second at an angle of 37° above the horizontal. The top of the fence is 2.5 meters high. The ball hits nothing while in flight and air resistance is negligible. Sin 37° = 0.60 Cos 37° =0.80 Tan 37° = 0.75 Plane of Fence Fence 20 m/s 2.5 m 1994B1 -32 m- a. Determine the time it takes for the ball to reach the plane of the fence. Note: Diagram not drawn to scale. b. Will the ball hit the fence? If so, how far below the top of the fence will it hit? If not, how far above the top of the fence will it pass? c. On the axes below, sketch the horizontal and vertical components of the velocity of the ball as functions of time until the ball reaches the plane of the fence. 204 15, 10 Horizontal 5 Component of Velocity o (m/s) Time (s) 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 --10, --15, -20 20 15 10 Vertical Component of Velocity o (m/s) Time (s) 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 -5 -10 -15 -20
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