# A car, starting from rest, accelerates at the rate 𝑓 through a distance 𝑆, then continues at constant speed for time 𝑡 and then decelerates at the rate 𝑓/2 to come to rest. If the total distance traversed is 15 𝑆, then

Question : A car, starting from rest, accelerates at the rate 𝑓 through a distance 𝑆, then continues at constant speed for time 𝑡 and then decelerates at the rate 𝑓/2 to come to rest. If the total distance traversed is 15 𝑆, then

(A) $S=\dfrac{1}{2}ft^{2}$

(B) $S=\dfrac{1}{4}ft^{2}$

(C) $S=\dfrac{1}{72}ft^{2}$

(D) $S=\dfrac{1}{6}ft^{2}$