Mathematics 9709 · AS & A Level · Kinematics of motion in a straight line

Kinematics of motion in a straight line — practice question

A cyclist moves along a straight horizontal road at a speed of $4\,\text{m s}^{-1}$ as she passes point $O$. She then accelerates uniformly over a distance of $42\,\text{m}$ until her speed becomes $V\,\text{m s}^{-1}$. After that, she continues at $V\,\text{m s}^{-1}$ for $50\,\text{m}$ and then slows down at $2\,\text{m s}^{-2}$ before stopping completely. The distance covered during deceleration is $16\,\text{m}$.
(a)[2]

Find $V$.

(b)[3]

Find the total time during which she is moving from the moment she passes $O$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Uses the constant acceleration formula to obtain $0=v^2-2\times2\times16$.

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