A car, starting from rest, accelerates at the rate \( f \) through a distance \( S \), then continues at constant speed for some time \( t \) and then decelerates at the rate \( \frac{f}{2} \) to come to rest. If the total distance is \( 5S \), then
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Break motion into parts: acceleration, uniform motion, and deceleration. Then apply kinematic equations separately.