Physics

Problem

The velocity

v(t)

of a particle, in m/s, is described below. •

0 \leq t \leq 3

v

increases linearly from

0

6

. •

3 < t \leq 5

v

-4

. •

5 < t \leq 7

v

increases linearly from

-4

2

. Determine the particle’s displacement on the interval

0 \leq t \leq 7\,\text{s}

. a)

-9\,\text{m}

-1\,\text{m}

13\,\text{m}

1\,\text{m}