A particle starts from rest and moves with a uniform acceleration of for seconds

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

Problem

A particle starts from rest and moves with a uniform acceleration of

2\,\text{m s}^{-2}

for

t_1

seconds, after which it continues with the constant velocity just reached for another

6\,\text{s}

. It then decelerates uniformly to rest in

3\,\text{s}

. The total displacement covered during the whole motion is

180\,\text{m}

. (i) Draw the velocity–time graph representing the complete motion. (ii) Calculate

t_1

correct to one decimal place. (iii) From the graph, write the maximum velocity attained by the particle.