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A projectile is projected with a speed u...

A projectile is projected with a speed `u` at an angle `theta` with the horizontal. What is the speed when its direction of motion makes an angle `theta//2` with the horizontal

A

`(ucos 2theta)//2`

B

`u cos theta`

C

`u(2 cos theta - sec theta)`

D

`u(cos theta - sec theta)`

Text Solution

Verified by Experts

The correct Answer is:
C
`v cos theta = u cos 2theta`
`v = (u(2 cos^(2) theta -1)/(cos theta)) = u[2cos theta - sec theta]`
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