# physics

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a car accelerates from rest at a constant rate alpha for some time, after which it decelerates at a constant rate beeta and comes to rest. if the total time elapsed is t, the maximum velocity acquired by the car will be?

• physics -

Let maximum velocity be x
then x/α+x/β=t
Solving,
x=t/(1/α+1/β)
=αβt/(α+β)

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