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Q.

A car accelerates from rest at a constant rate ‘α ’ for some time after which it decelerates at a constant rate β to come to rest. If the total time elapsed is t, maximum velocity reached by the car is:

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a

αβα+βt

b

αβα−βt

c

αβtα+β

d

α+βαβt

answer is C.

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Detailed Solution

v= αt' 0= αt'- β(t- t') t'=βtα+β v= αβtα+β

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A car accelerates from rest at a constant rate ‘α ’ for some time after which it decelerates at a constant rate β to come to rest. If the total time elapsed is t, maximum velocity reached by the car is: