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A bus starting from rest, accelerates at...

A bus starting from rest, accelerates at the rate of f through a distance S, then continues at constant speed for time t and declerates at the rate f/2 to come to rest. If the total distance travelled is 15 S then S =

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To solve the problem step by step, we will analyze the motion of the bus in three phases: acceleration, constant speed, and deceleration. ### Step 1: Analyze the acceleration phase The bus starts from rest and accelerates at a rate of \( f \) through a distance \( S \). Using the equation of motion: \[ S = ut + \frac{1}{2} a t^2 ...
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