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Two cars start in a race with velocities...

Two cars start in a race with velocities `u_(1)` and `u_(2)` and travel in a straight line with acceleration `alpha` and `beta`. If both reach the finish line at the same time, the range of the race is

A

`(2(u_(1)-u_(2))/(beta-alpha)^(2)) (u_(1)beta-u_(2)alpha)`

B

`2(u_(1)-u_(2))/(beta+alpha)(u_(1)alpha-u_(2)beta)`

C

`2(u_(1)-u_(2))^(2)/(beta-alpha)^(2))`

D

`(2u_(1)u_(2)`)/(beta alpha)`

Text Solution

Verified by Experts

The correct Answer is:
A
Range = dist covered before they meet
`S= t(u_(1)+(1)/(2)alphat)= t(u_(2)+ (1)/(2)betat)`
solve for t and substitute in the above equation.
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