A particle moving along \( x \)-axis has acceleration \( f \), at t...

A particle moving along \( x \)-axis has acceleration \( f \), at time \( t \), given by \( f=f_{0}\left(1-\frac{t}{T}\right) \), where \( f_{0} \) and \( T \) are constants. The
\( \mathrm{P} \) particle at \( t=0 \) has zero velocity. In the time interval between

W \( t=0 \) and the instant when \( f=0 \), the particle's velocity \( \left(v_{x}\right) \) is
[CBSE PMT 2007]
(a) \( f_{0} T \)
(b) \( \frac{1}{2} f_{0} T^{2} \)
(c) \( f_{0} T^{2} \)
(d) \( \frac{1}{2} f_{0} T \)