A particle of mass `m` , initially at rest , is acted upon by a variable force `F` for a brief interval of time `T`. It begins to move with a velocity `u` after the force stops acting . `F` is shown in the graph as a function of time. The curve is a semicircle.

Options

A. `u=(pi F_(0)^(2))/(2m)`
B. `u = (piT^(2))/(8m)`
C. `u = (piF_(0)T)/(4m)`
D. `u = (piF_(0)T)/(2m)`

Answer

C

Explanation

Impulse = Area of semi circle .