A particle moves along a straight line with the following velocity schedule: • At it has

PHYSICS · Single correct · CBSE · Physics · Motion · Motion

Problem

A particle moves along a straight line with the following velocity schedule: • At

t = 0

it has

v = 4\,\text{m}\,\text{s}^{-1}

. • It increases uniformly to

14\,\text{m}\,\text{s}^{-1}

in the next

5\,\text{s}

. • It maintains this velocity for the following

3\,\text{s}

. • Finally, it decreases uniformly to

2\,\text{m}\,\text{s}^{-1}

in the next

4\,\text{s}

. The total displacement of the particle during the

12\,\text{s}

motion is (a)

144\,\text{m}

(b)

105\,\text{m}

(c)

119\,\text{m}

(d)

111\,\text{m}