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Mathematics
Mathematics
Problem
A particle moves along the
x
x
x
–axis with velocity
v
(
t
)
=
{
6
−
2
t
,
0
≤
t
≤
4
,
t
−
6
,
4
<
t
≤
8.
v(t)=\begin{cases} 6-2t, & 0\le t\le 4,\\ t-6, & 4<t\le 8. \end{cases}
v
(
t
)
=
{
6
−
2
t
,
t
−
6
,
0
≤
t
≤
4
,
4
<
t
≤
8.
What is the particle’s displacement (change in position) from
t
=
0
t=0
t
=
0
to
t
=
8
t=8
t
=
8
? a)
0
0
0
units b)
8
8
8
units c)
12
12
12
units d)
−
8
-8
−
8
units
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