A ball is thrown vertcally upwards with a velocity `v` and an intial kinetic energy `E`. When half way to the top of its flight, it can have velocity and kinetic energy respectively of `:`

Options

A. `v/2,E/2`
B. `v/sqrt2,E/2`
C. `v/4,E/2`
D. `v/4,E/sqrt2`

Answer

B

Explanation

`v=sqrt(2gh)`

`v_(1)=sqrt(2gh(h)/(2))=sqrt(gh)=(v)/(sqrt2)` and
`K=(1)/(2)m((v)/(sqrt2))^(2)=(E)/(2)`