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A car starting from rest, accelerates 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 of travel is t, find the total distance travelled by it assuming it to travel in a straight line.

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A car starting from rest, accelerates 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 of travel is t, find the total distance travelled by it assuming it to travel in a straight line.



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