(i)[5]
Determine the value of $t$ when the particle is once more at instantaneous rest.
(ii)[3]
Determine the distance the particle covers between the moments of instantaneous rest.
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 through a point $O$. At time $t\,\text{s}$, the acceleration, $a\,\text{m s}^{-2}$, of $P$ is $a = 6 - 0.24t$. The particle is instantaneously at rest at $t = 20$.