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The maximum range of a bullet fired from...

The maximum range of a bullet fired from a toy pistol mounted on a car at rest is `R_(0)=40m`. What will be the acute angle of inclination of the pistol for maximum range when the car is moving in the direction of firing with uniform velocity `V=20m//s`, on a horizontal surface? `(g=10m//s^(2))`

A

` 30 ^@ `

B

`60 ^@ `

C

`75^@ `

D

`45^@ `

Text Solution

Verified by Experts

The correct Answer is:
C
`u^(2)/g=40 rArr u=20m//s`
`t=(2u sin theta)/(g) and R=(I cos theta+20) ((2u sin theta)/(g))`
Using `(dR)/(d theta)=0," we get "cos theta=1/2 rArr theta =60^@)`
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