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Mathematics
Mathematics
Problem
A particle moves along a line with velocity (in meters per second)
v
(
t
)
=
{
4
,
0
≤
t
≤
2
−
2
,
2
<
t
≤
5
v(t)=\begin{cases} 4, & 0\le t\le 2\\ -2, & 2< t\le 5 \end{cases}
v
(
t
)
=
{
4
,
−
2
,
0
≤
t
≤
2
2
<
t
≤
5
for time
t
t
t
in seconds. Determine both the net displacement and the total distance the particle travels on the interval
0
≤
t
≤
5
0\le t\le 5
0
≤
t
≤
5
.
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