(a)[2]
Find the set of values of $t$ for which the particle's acceleration is positive.
(b)[3]
Find the two values of $t$ at which $P$ returns to $O$.
Mathematics 9709 · AS & A Level · Kinematics of motion in a straight line
Kinematics of motion in a straight line — practice question
A particle $P$ travels along a straight line. At time $t\,\text{s}$ after departing from point $O$ on the line, $P$ has velocity $v\,\text{m s}^{-1}$, where $v = 44t - 6t^2 - 36$.
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This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Attempt to differentiate the stated $v$ by lowering the power and adjusting the coefficient correctly” …
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