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\includegraphics[max width=\textwidth, alt={}, center]{fdf004fa-3726-4726-a0b8-60030812d451-2_661_1351_479_397}
The diagram shows the velocity-time graph for the motion of a machine's cutting tool. The graph consists of five straight line segments. The tool moves forward for 8 s while cutting and then takes 3 s to return to its starting position. Find
- the acceleration of the tool during the first 2 s of the motion,
- the distance the tool moves forward while cutting,
- the greatest speed of the tool during the return to its starting position.