Q. A body is projected with a velocity $v$ and after some time it returns to the point from which it was projected. The average velocity and average speed of the body for the total time of flight are
A) $\overrightarrow{v}/2$ and $v/2$
B) 0 and $v/2$
C) 0 and 0
D) $\overrightarrow{v}/2$ and 0
Explanation
(b) $Average\ velocity = \frac{Total\ distance\ covered\ }{Time\ of\ flight} = \frac{2H_{\max}}{2u/g}$
$\Rightarrow v_{av} = \frac{2u^{2}/2g}{2u/g} \Rightarrow v_{av} = u/2$
Velocity of projection = $v\ $[Given]
$\therefore v_{av} = u/2$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.