A body A moves with a uniform acceleration

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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
$\frac{1}{2}a{t^2} = vt \Rightarrow t = \frac{{2v}}{a}$