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Two cars P and Q start from a point at t...

Two cars P and Q start from a point at the same time in a straight line and their positions are represented by
`X_(P)(t) = at + bt^(2)` and `X_(Q)(t) = ft - t^(2)`. At what time do the cars have the same velocity ?

A

`(a-f)/(1+b)`

B

`(a+f)/(2(b-1))`

C

`(a+f)/(2(1+b))`

D

`(f-a)/(2(1+b))`

Text Solution

Verified by Experts

The correct Answer is:
D
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  • A particle starts from point A moves along a straight line path with an acceleration given by a = p - qx where p, q are connected and x is distance from point A . The particle stops at point B. The maximum velocity of the particle is

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