Revise Mechanics! (1)

A particle of mass m m , initially at rest, is acted upon by a variable force F F for a small interval of time T T . It then begins to move with a velocity u u after the force stops acting. F F is shown in the graph as a function of time(the curve shown is a semi-circle). Then, find the value of u u .

π F 0 T 2 m \frac{\pi F_0T}{2m} π F 0 2 2 m \frac{\pi{F_0}^2}{2m} π F 0 T 4 m \frac{\pi F_0T}{4m} π T 2 8 m \frac{\pi{T}^2}{8m}

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