A rock is dropped from a sea cliff and the sound of itstriking the ocean is hear

Question

A rock is dropped from a sea cliff and the sound of itstriking the ocean is heard 3.8 slater. If the speed of sound is 340 m/s, how high is thecliff? Give answer in meters.
I have started this problem but keep getting stuck at thepoint where you have to use a constant acceleration equation tofigure out the X. The problem here is that t= initial positiondivided by 340 m/s, which is the speed of sound. Please help.
A rock is dropped from a sea cliff and the sound of itstriking the ocean is heard 3.8 slater. If the speed of sound is 340 m/s, how high is thecliff? Give answer in meters.
I have started this problem but keep getting stuck at thepoint where you have to use a constant acceleration equation tofigure out the X. The problem here is that t= initial positiondivided by 340 m/s, which is the speed of sound. Please help.

Explanation / Answer

Using    h = ut + 1/2 at2           = 0 + 1/2at2 Then time to fall is t = (2h/g) The time it takes for the sound to be heard up at the top of thecliff can be found by the formula    t' = h / v,      = h / 340 total time    t + t' = 3.8s (2h /g)1/2 + h / 340 = 3.8       (2h /g) + (h / 340)2 =14.44 Solve this quadratic equations you will get value of h.

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