A car travels along a straight road with forward direction taken as positive

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

Problem

A car travels along a straight road with forward direction taken as positive. It passes the origin at

t=0

with a speed of

20\,\text{m/s}

. The car then slows down uniformly to rest in

4\,\text{s}

and immediately accelerates backward (negative direction) at a constant

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

for the next

2\,\text{s}

. What is the car’s displacement relative to the origin at

t=6\,\text{s}

? (a)

40\,\text{m}

(b)

34\,\text{m}

(c)

28\,\text{m}

(d)

46\,\text{m}