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A car 2 m long and 3 m wide is moving at...

A car 2 m long and 3 m wide is moving at 13m/sec when a bullet hits it in a direction making an angle `theta=tan^(-1) 3//4` with the car as seen from the street. The bullet enters one edge of the comer and passes out at the diagonally opposite comer. Neglectingany interaction between bullet and car find the time for the bullet to cross the car :

A

`1.0s`

B

`0.4s`

C

`0.2s`

D

`0.6s`

Text Solution

Verified by Experts

The correct Answer is:
c

Let the speed of bullet be v. The component of relative velocity in the direction of the length of the car is `v cos theta-10` and in the direction of the width of the car is `v sin theta`. Then froms `s=vt`.
`2=(v cos theta-10)t andn 3=(v sin theta)t`
Eliminatin v, we get t=0.2s
so to avoide the hit,`a_(rel)gt20m//s^(2)`
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