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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

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

B

`frac(alpha^2 beta^2t)(alphabeta)`

C

`frac(alpha+betat)(alphabeta)`

D

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

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