A body is thrown vertically upward with velocity u, the greatest height h to which it will rise is,
Initial velocity be u
Final Velocity (v)= 0
Acceleration on the body is –g
Hence, from the equation of motion
We have
v2 = u2 +2as
0 = u2 – 2gh
h = u2/2g
So. u2/2g is correct option.