A body is projected vertically up with a velocity v and after some time it returns to point from whi

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2.Motion in Straight Line

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A body is projected vertically up 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

$\vec v/2\,$and $v/2$

B

$0$ and $v/2$

C

$0$ and $0$

D

$\vec v/2$ and $0$

Solution

(b) Average velocity $=0$ because net displacement of the body is zero.

Average speed $ = \frac{{{\rm{Total \,distance \,covered }}}}{{{\rm{Time \,of\, flight}}}}$$ = \frac{{2{H_{\max }}}}{{2u/g}}$

==> ${v_{av}} = \frac{{2{u^2}/2g}}{{2u/g}}$ ==> ${v_{av}} = u/2$

Velocity of projection $= v$ (given)

$\therefore $ ${v_{{\rm{av}}}} = v/2$

Standard 11

Physics

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