A car moves in a straight line in three successive intervals

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

Problem

A car moves in a straight line in three successive

4\,\text{s}

intervals. During the first interval it has constant acceleration

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

. During the second interval it moves with constant velocity. During the third interval it has constant acceleration

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

. The car starts from rest at the beginning of the first interval. (i) Find the velocity of the car at the end of

12\,\text{s}

. (ii) Calculate the total displacement covered in the

12\,\text{s}