A trolley on a straight track moves as follows: • It travels at a constant speed of…

PHYSICS · Multi-part · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A trolley on a straight track moves as follows: • It travels at a constant speed of

2\,\text{m/s}

for the first

5\,\text{s}

. • Its speed then increases uniformly to

8\,\text{m/s}

during the next

3\,\text{s}

. • Finally, it keeps moving at

8\,\text{m/s}

for a further

4\,\text{s}

. Answer the questions that follow. (i) Draw a velocity–time graph for the

12\,\text{s}

motion described. (ii) Calculate the total displacement of the trolley in the

12\,\text{s}

interval. (iii) Determine the average velocity of the trolley for the whole journey.