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Question 13

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? Given, g = 10 m s-2 and speed of sound = 340 m s-1.

Answer

Height of the tower, s = 500 m

Velocity of sound, v = 340 m/s

Acceleration due to gravity, g = 10 m/s2

Initial velocity of the stone, u = 0 

Time taken by the stone to fall to the base of the tower, t1

According to the second equation of motion:


Now, time taken by the sound to reach the top from the base of the tower,

Hence , the splash is heard at the top after time, t

Where, t = t1 + t2 = 10 + 1.47 = 11.47 s

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