(i)[1]
Find the acceleration of the tool in the first $2 \text{ s}$ of the motion.
(ii)[2]
Find the forward distance travelled by the tool while cutting.
(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 the velocity-time graph for a machine cutting tool’s motion. It is made up of five straight-line sections. The tool travels forward for $8 \text{ s}$ while cutting, then needs $3 \text{ s}$ to get back to its starting point.