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Two cars start off to race with velociti...

Two cars start off to race with velocities `4 m/s and 2 m/s` and travel in straight line with uniform accelerations `1 msec^-2`and 2 msec − 2` respectively. If they reach the final point at the same instant, then the length of the path is.

A

`30m`

B

`32m`

C

`20m`

D

`24m`

Text Solution

Verified by Experts

The correct Answer is:
D
Two cars …………….
`s=4t+(1)/(2)(1)t^(2)=2t+(1)/(2)t^(2)`
`implies 4t+0.5t^(2)=2t+t^(2)`
solving we get
`t = 0 and t = 4 sec`
so, `s = (4xx4)+0.5(4xx4)` , `s = 24m`
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