$A$ particle moving along the $x-$axis has acceleration $f$ at time $t$,given by $f = f_0(1 - t/T)$,where $f_0$ and $T$ are 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 $(v_x)$ is:
- A$\frac{1}{2}f_0 t^2$
- B$f_0 T^2$
- C$\frac{1}{2}f_0 T$
- D$f_0 T$
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