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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,` to come to rest. If the total time elapsed is t seconds. Then evalute the maximum velocity aquired by the car is

A

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

B

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

C

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

D

`(alpha betat)/(alpha+beta)`

Text Solution

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The correct Answer is:
D
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