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

Options

A. `(vec v)/(2) and (v)/(2)`
B. `0 and (v)/(2)`
C. `0 and 0`
D. `(vec v)/(2) and 0`.

Answer

B

Explanation

Average velocity = `0` because net displacement of the body is zero.
Average speed `= ("Total distance covered")/("Time of flight")`
=`(2 H_(max))/(2 u//g)`
`rArr v_(av) = (2 u^2//2g)/(2u//g) rArr v_(av) = (u)/(2)`
Velocity of projection = v (given)
`:. v_(av) = (v)/(2)`.