In: Physics
A ball is kicked horizontally with 15 m/s initial speed from a cliff. The ball lands 75 m away from the base of the cliff (R = 75m). What is the height of the cliff? What is the hitting velocity (the velocity of the ball before it hits the ground)? What is the total time of flight?
Given:
Initial horizontal velocity,
Initial vertical velocity,
Range of the ball,
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What is the total time of flight?
Consider the horizontal motion of the ball
There is no acceleration in the horizontal direction, so horizontal velocity remains constant.
Horizontal velocity = Horizontal Distance/Time of flight
ANSWER:
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What is the height of the cliff?
Consider the vertical motion of the ball
Use formula
ANSWER:
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What is the hitting velocity (the velocity of the ball before it hits the ground)?
Consider the vertical motion of the ball
Use formula
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Consider the horizontal motion of the ball
There is no acceleration in the horizontal direction, so horizontal velocity remains constant.
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Final velocity,
ANSWER:
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