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Mathematics
Mathematics
Problem
A particle has velocity
v
(
t
)
=
⟨
3
t
2
,
4
⟩
\mathbf v(t)=\langle 3t^{2},4\rangle
v
(
t
)
=
⟨
3
t
2
,
4
⟩
for
t
≥
0
t\ge 0
t
≥
0
and position
r
(
0
)
=
⟨
5
,
−
1
⟩
\mathbf r(0)=\langle 5,-1\rangle
r
(
0
)
=
⟨
5
,
−
1
⟩
. Determine the particle’s
y
y
y
–coordinate at time
t
=
3
t=3
t
=
3
. a)
17
17
17
b)
11
11
11
c)
12
12
12
d)
4
4
4
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