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Mathematics
Mathematics
Problem
A particle moves along the
x
x
x
-axis with acceleration
a
(
t
)
=
{
3
,
0
≤
t
≤
1
,
−
2
,
1
<
t
≤
4.
a(t)=\begin{cases} 3,&0\le t\le 1,\\ -2,&1< t\le 4. \end{cases}
a
(
t
)
=
{
3
,
−
2
,
0
≤
t
≤
1
,
1
<
t
≤
4.
If its velocity at
t
=
0
t=0
t
=
0
is
5
m/s
5\text{ m/s}
5
m/s
, what is its velocity at
t
=
4
s
t=4\text{ s}
t
=
4
s
? a)
6
6
6
b)
14
14
14
c)
2
2
2
d)
8
8
8
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