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2015-02-19T16:58:25+05:30

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Distance, s = 500m
acceleration, g = 10 m/s²
initial speed, u = 0
let the time taken for the stone to reach the pond = t₁

s = ut₁ + 1/2 gt₁²
⇒ 500 = 0 + (1/2)×10×t₁²
⇒ t₁² = (2×500)/10 = 1000/10 = 100
⇒ t₁ = √100 = 10s

let the time taken by sound to reach the top of tower = t₂
speed of sound = 340 m/s
t₂ = 500/340 = 1.47s

total time = t₁+t₂ = 10+1.47 = 11.47s
So the splash will be heard at the top after 11.47 seconds.

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