A car accelerates from rest at a constant rate alpha for some time after which it decelerates at a constant rate beta to come to rest. the total distance travelled is
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Initial velocity (u) = 0; Acceleration in the first phase =
Deceleration in the second phase = and total time = t.
When car is accelerating then final velocity (v) or and when car is decelerating,
then final velocity
or .
Therefore total time (t) =
or
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