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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 (a) the maximum velocity reached and (b) the total distance travelled.

A

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

B

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

C

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

D

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

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