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. Then

• A

  $\mathrm{u}=\frac{{\mathrm{\pi F}}_0^2}{2\mathrm{m}}$

• B

  $\mathrm{u}=\frac{{\mathrm{\pi T}}^2}{8\mathrm{m}}$

• C

  $\mathrm{u}=\frac{{\mathrm{\pi F}}_0\mathrm{T}}{4\mathrm{m}}$

• D

  $\mathrm{u}=\frac{{\mathrm{\pi F}}_0\mathrm{T}}{2\mathrm{m}}$