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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
(a) \( u=\frac{\pi F_{0}^{2}}{2 m} \)
(b) \( u=\frac{\pi T^{2}}{8 m} \)
(c) \( u=\frac{\pi F_{0} T}{4 m} \)
(d) \( u=\frac{F_{0} T}{2 m} \)
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