A stone is dropped from the top of a tower 500 m high into a pond of water at the base of the tower. When is the splash heard at the top? Giving g = 10 m s-2 and speed of sound = 340 m s-1.


Given,

Distance covered by stone, s = 500 m


Initial speed, u = 0


Time taken, t =?


Acceleration, g = 10 m/s2


We know that,


s = ut + gt2


500 = 0 × t + × 10 × t2


500 = 5 × t2


=


= 100


t =


Time, t = 10 s (i)


We know that,


Speed of sound =


340 =


Time taken by sound =


= 1.47 s (ii)


So, the required time at which splash is heard at the top = 10 s + 1.47


= 11.47 s


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