1. Tardigrade
  2. Question
  3. Physics
  4. A body 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

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. A body 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

Punjab PMETPunjab PMET 2011Motion in a Straight Line

Solution:

$s_{A}=u t+\frac{1}{2} a t^{2}$
or $s_{A}=0+\frac{1}{2} a t^{2}=\frac{1}{2} a t^{2}$
$s_{B}=v t$
Given, $s_{A}=s_{B}$
$\therefore \frac{1}{2} a t^{2}=v t$
or $t=\frac{2 v}{a}$