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Find the value of $T$ and hence determine the distance covered by the train during the period when it moves at the constant speed of $30\,\text{m\,s}^{-1}$.
Mathematics 9709 · AS & A Level · Kinematics of motion in a straight line
Kinematics of motion in a straight line — practice question
A train covers $4.8\,\text{km}$ between stations $A$ and $B$. It leaves $A$ from rest and accelerates uniformly until its speed reaches $30\,\text{m\,s}^{-1}$. It then continues at this constant speed for $T$ seconds before slowing at a constant rate and stopping at $B$. The whole journey lasts $180\,\text{s}$.
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