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 and begins from rest at point $O$. At time $t$ after leaving $O$, its acceleration is $a\,\text{m s}^{-2}$, where $a = 5.4 - 1.62t$.
(i)[4]
Determine the positive value of $t$ for which the particle's velocity is zero, and give the result as an exact fraction.
(ii)[3]
Find the velocity of the particle at $t = 10$ and sketch the velocity-time graph for the first ten seconds of the motion.
(iii)[5]
Determine the total distance covered in the first ten seconds of the motion.
Worked solution & mark scheme
This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Velocity obtained by integrating acceleration: $v = \int(5.4 - 1.62t)dt$” …