(i)[3]
At the instant when the particle’s acceleration is $2.5$ times its initial acceleration, show that $t = 25$.
(ii)[3]
Determine the displacement of the particle from $O$.
Mathematics 9709 · AS & A Level · Kinematics of motion in a straight line
Kinematics of motion in a straight line — practice question
A particle travels along a straight line. Its velocity $t$ seconds after it leaves a fixed point $O$ on the line is $v\,\text{m s}^{-1}$, where $v = 0.2t + 0.006t^{2}$.