A car is travelling along a straight road at a speed of

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

Problem

40\,\text{m/s}

. The driver applies the brakes, producing a uniform retardation that reduces the speed to

20\,\text{m/s}

4\,\text{s}

. Immediately after, the driver releases the brakes and the car accelerates uniformly to a speed of

30\,\text{m/s}

in the next

6\,\text{s}

. (a) Calculate the displacement of the car during the first

4\,\text{s}

of retardation. (b) Calculate the displacement of the car during the following

6\,\text{s}

of acceleration. (c) Determine the total displacement of the car in the entire

10\,\text{s}

interval.