A car, starting from rest, accelerates at the rate \( f \) through ...

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A car, starting from rest, accelerates at the rate \( f \) through a distance \( s \), then continues at constant speed
\( \mathrm{P} \) for time \( t \) and then decelerates at the rate \( 2 f \) to come

W to rest. If the total distance travelled is \( 5 s \), then
(1) \( s=\frac{1}{6} f t^{2} \)
(2) \( s=f t \)
(3) \( s=\frac{1}{4} f t^{2} \)
(4) \( s=\frac{8}{49} f t^{2} \)
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