(i)[4]
Verify that, at $t = 5$, the particle is $6.25\,\text{m}$ from $O$. Determine the acceleration of the particle at this instant.
(ii)[6]
Find the times $t$ at which the particle is moving at half of its maximum velocity.
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 in a straight line from a starting point $O$. At time $t\,\text{s}$ after leaving $O$, its velocity, in $\text{m s}^{-1}$, is given by $v = 0.6t - 0.03t^2$.