a stone is dropped from the top of a tower 500m high into a pond of water at the base of the tower . when is the splash heard ? g = 10m/s2 and speed of sound = 340m/s
The height of the tower (h) = 500 m
Let t be the time taken by the stone to reach the water surface.
As you know, for a free fall, h = ut + 0.5gt2
Here, initial velocity is zero as the ball is just dropped.
So, 500 = 0.5× 10× t2
Therefore, t = 10 seconds.
The speed of sound = 340 m/s
So, the time taken for the sound to travel 500m upwards = 500/340 = 1.47 seconds.
The total time taken to hear the splash sound after dropping the stone = 10 + 1.47 = 11.47 seconds.