A car starts from rest and travels with uniform acceleration $\alpha$ for some time and  then with uniform retardation $\beta$ and comes to rest. If the total travel time of the car  is $‘t’$, the maximum velocity attained by it is given by :-

  • A

    $\frac{\alpha \beta}{(\alpha + \beta)}.t$

  • B

    $\frac{1}{2} \frac{\alpha \beta}{(\alpha + \beta)}.t^2$

  • C

    $\frac{\alpha \beta}{(\alpha - \beta)}.t$

  • D

    $\frac{1}{2} \frac{\alpha \beta}{(\alpha - \beta)}.t^2$

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