A cyclist starts from a point O and moves along a straight road as follows: • for the…

PHYSICS · Subjective · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A cyclist starts from a point O and moves along a straight road as follows: • for the first

4\,\text{s}

with a constant velocity of

3\,\text{m/s}

due east, • for the next

6\,\text{s}

with a constant velocity of

5\,\text{m/s}

due east, • and finally remains at rest for

2\,\text{s}

. (a) Draw a velocity–time graph for the entire

12\,\text{s}

journey, taking the eastward direction as positive. (b) Using the information represented in the graph, calculate the total displacement of the cyclist from point O at the end of

12\,\text{s}

. (c) Determine the average speed and the average velocity of the cyclist for the whole journey.

Related theory

1D Motion: Distance, Displacement, Speed & Velocity
Velocity-Time Graphs
Motion graphs
Motion

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