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A body is projected vertically upwards w...

A body is projected vertically upwards with velocity of 10m/s. At a point P in its path, its P.E. and K.E. are equal. What is the height of the point?

A

2m

B

4m

C

5m

D

6m

Text Solution

Verified by Experts

The correct Answer is:
C
Initial K.E=`1/2mv^2`
and at a height h, P.E=mgh
and K.E.`=1/2(1/2mv^2)`
`:.` mgh=`1/2(1/2mv^2)=1/4mv^2`
`:." "h=(v^2)/(4g)=(4xx4)/(4xx10)=0.4m`
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