A boy is standing on top of a tower of height 85m and throws a ball in the vertically upward direction with a certain speed. If 5.25 secs later he hears the ball hitting the ground, then the speed with which the boy threw the ball is ( take g=10m/s2, speed of sound in air=340m/s)
(A) 6m/s
(B) 8m/s
(C) 10m/s
(D) 12m/s


Time taken by sound= \(\frac{85}{340}\)=0.25secs
Time taken by the ball= 5.25-0.25=5s
Let us assume that the ball is thrown upwards with a velocity u. We know, \(s=ut+\frac{1}{2}gt^2\) where s is the distance covered,u is the initial velocity, g is the acceleration due to gravity and t is the time taken. Here, time taken t=5. Since the ball is thrown upwards, we have $$85=-5u+\frac{1}{2}\times10\times25$$
Hence, u is 8m/s.