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A particle moving along \( x \)-axis has acceleration ' \( f \) ' at
P time \( t \), given by

W \( f=f_{0}\left(1-\frac{t}{T}\right) \)
where \( f_{0} \) and \( \mathrm{T} \) arc constants. The particle at \( t=0 \) has zero velocity. In the time interval between \( t=0 \) and the instant when \( f=0 \), the particle's velocity \( \left(v_{x}\right) \) is:
(1) \( \frac{1}{2} f_{0} T^{2} \)
(2) \( \quad f_{0} T^{2} \)
(3) \( \frac{1}{2} f_{0} T \)
(4) \( f_{0} T \)
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