A body $A$ moves with a uniform acceleration $a$ and zero initial velocity. Another body $B$, starts from the same point moves in the same direction with a constant velocity $v$. The two bodies meet after a time $t$. The value of $t$ is
A
$\frac{{2v}}{a}$
B
$\frac{v}{a}$
C
$\frac{v}{{2a}}$
D
$\sqrt {\frac{v}{{2a}}} $
A body $A$ moves with a uniform acceleration $a$ and zero initial velocity. Another body $B$, starts from the same point moves in the same direction with a constant velocity $v$. The two bodies meet after a time $t$. The value of $t$ is
$\frac{1}{2}a{t^2} = vt \Rightarrow t = \frac{{2v}}{a}$