Correct Answer - Option 2 : 127.55 m
The initial velocity of ball u = 50 ms-1
Final velocity v =0
The value of g = 9.8 m/s2
At the maximum height, the velocity becomes zero, so the final velocity also zero.
Now, v2 = u2 - 2gh
(0)2 = (50)2 - 2 x 9.8 x h
h =2500 / 19.6 = 127.55 m