(a)[4]
Determine the value of $t$ when the velocity of $P$ equals $3\text{ m s}^{-1}$.
(b)[3]
Determine the displacement of $P$ from $O$ at $t = 2$, and give your answer correct to $2$ decimal places.
Mathematics 9709 · AS & A Level · Kinematics of motion in a straight line
Kinematics of motion in a straight line — practice question
Particle $P$ travels along a straight line, beginning at point $O$ with velocity $1.72\text{ m s}^{-1}$. Its acceleration $a\text{ m s}^{-2}$, $t\text{ s}$ after leaving $O$, is defined by $a = 0.1t^{\frac{3}{2}}$.
Worked solution & mark scheme
This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Carry out the integration of acceleration: $\int 0.1t^{\frac{3}{2}}\,dt$” …
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