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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))/(alphabeta))t`

B

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

C

`(alphabetat)/(alpha+beta)`

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
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