(a)[2]
Find the speed of the particle at $t = 9$.
(b)[3]
Find the time after leaving $O$ when the speed (in metres per second) and the distance travelled (in metres) have the same numerical value.
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, beginning from rest at point $O$. At time $t\,\text{s}$ after it leaves $O$, its acceleration is $a\,\text{m s}^{-2}$, where $a = 4t^{\frac{1}{2}}$.
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Attempt to integrate the acceleration in order to obtain $v$, for example $v=\frac{4}{1.5}t^2-\frac{8}{3}t^3+c$” …
- Full mark scheme, point by point
- Step-by-step worked solution
- Write your answer & get it marked instantly by AI