(a(i))[1]
Find the acceleration of the tool in the first $2\,\text{s}$ of the motion.
(a(ii))[2]
Find the distance the tool travels forwards while it is cutting.
(a(iii))[2]
Find the greatest speed of the tool as it returns to its starting position.
Mathematics 9709 · AS & A Level · Kinematics of motion in a straight line
Kinematics of motion in a straight line — practice question
The diagram presents a velocity-time graph for the motion of a machine’s cutting tool. It is made up of five straight-line sections. The tool travels forwards for $8\,\text{s}$ while it is cutting and then needs $3\,\text{s}$ to get back to its starting point.