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In: Physics

A ball is kicked horizontally with 15 m/s initial speed from a cliff. The ball lands...

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?

Solutions

Expert Solution

Given:

Initial horizontal velocity,

Initial vertical velocity,

Range of the ball,

==========================

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:

=====================

What is the height of the cliff?

Consider the vertical motion of the ball

Use formula

ANSWER:

==============================

What is the hitting velocity (the velocity of the ball before it hits the ground)?

Consider the vertical motion of the ball

Use formula

==================

Consider the horizontal motion of the ball

There is no acceleration in the horizontal direction, so horizontal velocity remains constant.

--------

Final velocity,

ANSWER:

========================

genius_generous answered 1 year ago
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