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A car accelerates from rest at a constan...

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

A

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

B

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

C

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

D

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

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The correct Answer is:
C
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