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A particle of mass ' \( m \) ' original at rest, is subjected to a force whose direction is constant but whose
\( \mathrm{P} \) magnitude varies with according to the relation

W \( F=F_{0} t\left[\frac{2}{T}-\frac{t}{T^{2}}\right] \), Where \( F_{0} \) and \( T \) are constant.
Then speed of the particle after a time \( 2 T \) is:
(1) \( \frac{3 F_{0}}{4 m} T \)
(2) \( \frac{4 F_{0}}{3 m} T \)
(3) \( \frac{2 F_{0}}{m} T \)
(4) \( \frac{F_{0}}{m} T \)
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