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A body is projected vertically up with a...

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

`(vecv)/(2)` and `(v)/(2)`

B

0 and `(v)/(2)`

C

0 and 0

D

`(vecv)/(2)` and 0

Text Solution

Verified by Experts

The correct Answer is:
B
Average velocity `=0` because displacement of the body is zero.
`average speed`=``(t otal dista nce covered)/(time of flight)=(2H_(max))/((2u)/(g))`
`impliesv_(av)=((2u^2)/(2g))/((2u)/(g))impliesv_(av)=(u)/(2)`
Velocity of projection`=v` (given)
`v_(av)=(v)/(2)`
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