Question

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. $\frac { 2 v } { a }$
• B. $\frac { v } { a }$
• C. $\frac { v } { 2 a }$
• D. $\sqrt { \frac { v } { 2 a } }$

Answer 1

Answer: (A)

$\frac { 2 v } { a }$

Answer 2

Let they meet after time 't' . Distance covered by body A

= $\frac { 1 } { 2 } a t ^ { 2 }$ ; Distance covered by body B = $v t$

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

$\therefore$ $t = \frac { 2 v } { a }$ .