1. A cable-car carries passengers horizontally across a river at a constant height above the water.

The motion of one journey is as follows.

• From rest, the cable-car accelerates uniformly at 2 ms^-2 for 3 seconds

• It then continues at the speed reached until it has travelled a further 24 m

• The cable-car next decelerates uniformly with acceleration -1 ms^-2 until its velocity is -2 ms^-1

• Finally, the cable-car decreases its speed to come to rest 5 s later on the opposite bank of the river

Sketch a velocity–time graph for the complete motion of the cable-car described.