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

Kinematics of motion in a straight line — practice question

A particle $P$ moves along a straight line in the positive direction with constant acceleration. During the $2\text{nd}$ second of its motion, $P$ covers $52\,\text{m}$, and during the $4\text{th}$ second of its motion, it covers $64\,\text{m}$.
(a)[5]

Find the initial speed and acceleration of $P$.

(b)[2]

Find the distance travelled by $P$ in the first $10$ seconds of its motion.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: Uses $s=ut+\frac12at^2$ to set up an equation for one chosen second

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