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When the driver of a car A sees a car B ...

When the driver of a car `A` sees a car `B` moving towards his car and at distance `30m`, takes a left turn fo `30^(@)`. At the same instant the driver of the car `b` takes a turn to his right at an angle `60^(@)`. The two cars collides after two second, then the velocity (in `m//s)` of the car `A` nad `B` respectively will be :[assume both cars to be moving along same line with constant spped]

A

`7.5, 7.6 sqrt(3)`

B

`7.5,7.5`

C

`7.5 sqrt(3)`

D

None

Text Solution

Verified by Experts

The correct Answer is:
C
let they collides at `P`
`t = (AP)/(V_(A))`
`V_(A) = (AP)/(t)`
`V_(A) = (30 cos 30^(@))/(2) rArr V_(A) = 15 xx (sqrt(3))/(2)`
`rArr = 7.5 sqrt(3)m//s`
For `car B t = (BP)/(V_(B))`
`V_(B) = (BP)/(t) rArr V_(B) = (30sin 30^(@))/(2) = 7.5 m//s`
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