(i)[6]
Show that, in the later motion, the acceleration when the particle is momentarily at rest is $16\,\text{m s}^{-2}$.
(ii)[3]
Find the displacement of the particle from $O$ when $t = 5$.
Mathematics 9709 · AS & A Level · Kinematics of motion in a straight line
Kinematics of motion in a straight line — practice question
A particle travels in a straight line. It begins from rest at a fixed point $O$ on the line. At time $t$ seconds after leaving $O$, its acceleration is $a\,\text{m s}^{-2}$, where $a=0.4t^{3}-4.8t^{\frac{1}{2}}$.
Worked solution & mark scheme
This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Set up the integration of $a$ to find the velocity: $v = \int (0.4t^3 - 4.8t^{\frac{1}{2}})\,dt$” …
- Full mark scheme, point by point
- Step-by-step worked solution
- Write your answer & get it marked instantly by AI