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A rock is thrown from the top of a cliff with height h and the sound...

A rock is thrown from the top of a cliff with height h and the sound of the rock hitting the ground is heard 20 seconds from when the rock is thrown. What is the height of the cliff? (temperature=0 degrees Celsius)

Use Total Time=20 seconds= time for the rock to hit the ground + time for sound of rock to reach the person at the top of the cliff.

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Homework Answers

Answer #1

Let h be the height of the cliff

Then the time taken to hit the bottom is

The time taken for the sound to reach the surface is

where v is the sped of sound

Hence the total time taken is

Plug in

and

the speed of sound at 0 degrees Celcius

The equation becomes:

Solving this gives the height of the cliff

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