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A ball whose kinetic energy is E , is pr...

A ball whose kinetic energy is `E` , is projected at an angle of `45(@)` to the horizontal . The kinetic energy of the ball at the highest point of its flight will be

A

`E`

B

`E//sqrt(2)`

C

`E//2`

D

zero

Text Solution

Verified by Experts

The correct Answer is:
C
At the highest point of its flight, vertical component of velocity is zero and only horizontal component is left which is
`u_(x) = u cos theta`
Given : `theta = 45^(@)`
`:. u_(x) = ucos 45^(@) = (u)/(sqrt(2))`
Hence, at the highest point kinetic enegrgy
`E' = (1)/(2)mu_(x)^(2)`
`= (1)/(2)m ((u)/(sqrt(2)))^(2) = (1)/(2)m((u^(2))/(2))`
`= (E)/(2) (`:' (1)/(2) mu^(2) = E)`
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