In the match against Australia at Adelaide in 2012, M.S. Dhoni hit a 112 meter long six in the last over. It took 4 seconds for the ball to fall outside boundaries after hit by Dhoni. How much maximum height the ball has gained during the shot?
Answers
Given : a 112 meter long six took 4 seconds for the ball to fall outside boundaries after hit
To Find : maximum height the ball has gained during the shot
Solution:
Let say ball hit with velocity v m/s with angle α with horizontal
vcosα * 4 = 112
=> vcosα = 28
Total tim e= 4 sec
Hence time to reach max height = 4/2 = 2 sec
vertical speed at top is 0.
Vertical speed initially = vsinα
V = u + at
a = - g = - 10
=> 0 = vsinα - 10 (2)
vsinα = 20
S = vsinα * t + (1/2)at²
=> S = 20 * 2 + (1/2)(-10)2²
=> S = 40 - 20
=> S = 20
maximum height the ball has gained during the shot = 20 m
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