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A car accelerates from rest at a constan...

A car accelerates from rest at a constant rate `alpha` for some time, after which it decelerates at a constant rate `beta` and comes to rest. If the total time elapsed is t, then the maximum velocity acquired by the car is

A

`((alpha^2 + beta^2)/(alpha beta)) t`

B

`((alpha^2 -beta^2)/(alpha beta))t `

C

`(alpha beta t)/(alpha + beta)`

D

`((alpha + beta)t)/(alpha beta)`

Text Solution

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The correct Answer is:
C
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