A car, starting from rest, accelerates at the rate \( f \) P through a distance \( s \), then co...

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A car, starting from rest, accelerates at the rate \( f \)
P through a distance \( s \), then continues at constant speed

W for time \( t \) and then decelerates at the rate \( \frac{f}{2} \) to comes to rest. If the total distance travelled is \( 15 \mathrm{~s} \), then
(1) \( s=\frac{1}{6} f t^{2} \)
(2) \( s=f t \)
(3) \( s=\frac{1}{4} f t^{2} \)
(4) \( s=\frac{1}{72} f t^{2} \)
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