A probe moves in a straight line through deep space

PHYSICS · Single correct · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A probe moves in a straight line through deep space, starting from rest at the origin at

t=0

. For

0\le t<4\,\text{s}

the probe experiences constant acceleration

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

in the

+x

direction; for

4\le t<8\,\text{s}

its acceleration is

0

; and for

8\le t\le12\,\text{s}

its acceleration is

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

(opposite the

+x

direction). What is the probe’s position relative to the origin at

t=12\,\text{s}

? (a)

56\,\text{m}

(b)

64\,\text{m}

(c)

72\,\text{m}

(d)

40\,\text{m}