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A ball is dropped off of a tall building and falls for 2 seconds before landing

ID: 1882513 • Letter: A

Question

A ball is dropped off of a tall building and falls for 2 seconds before landing on a balcony. A rock is then dropped from the top of the building and falls for 4 seconds before landing on the ground. How does the final speed (meaning the speed it had just before landing) of the rock compare to the final speed of the ball?  

The rock’s final speed is four times as much as the ball’s final speed.

The rock’s final speed is twice as much as the ball’s final speed.

The rock’s final speed is the same as the ball’s final speed.

The rock’s final speed is three times as much as the ball’s final speed

Explanation / Answer

The rock’s final speed is twice as much as the ball’s final speed. When an object is dropped from rest in free fall, its speed is directly proportional to the time it has fallen, V is proportional to t. Because the rock falls for twice as much time as the ball, the rock will end up with twice the final speed of the ball.

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