Rock is dropped off of a cliff physics homework

AI Thread Summary
To solve the problem of a rock dropped from a cliff with a splash sound heard 3.4 seconds later, two equations are used. The height of the cliff can be calculated using h = 1/2 g t1^2 for the fall time and h = c_s (3.4 s - t1) for the sound travel time, where g is the acceleration due to gravity and c_s is the speed of sound at 340 m/s. By combining these equations, the time it takes for the rock to hit the water (t1) can be determined. The physics concepts of free fall and sound travel are essential for finding the cliff's height. The discussion emphasizes the application of kinematic equations and sound speed in solving real-world physics problems.
DrZoidberg421
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I just started physics about a week ago. We got this problem for extra credit, and I need help with it.

A rock is dropped off of a cliff and the sound of splashing water is heard 3.4 seconds later. The speed of sound is 340 m/s. How high is the cliff?

Any insight/help you could give me would be great.

Thanks
 
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The height of the cliff is

h = \frac {1}{2} g t_1^2

But h is also given by

h = c_s (3.4 s - t_1)

where c_s is the speed of sound. Can you take it from there?
 
Yeah, thanks a lot
 

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