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Mathematics
Mathematics
Problem
A particle moves in the plane with velocity
v
(
t
)
=
⟨
2
t
−
3
,
t
2
−
4
t
+
6
⟩
\mathbf v(t)=\langle 2t-3,\;t^{2}-4t+6\rangle
v
(
t
)
=
⟨
2
t
−
3
,
t
2
−
4
t
+
6
⟩
meters per second for
t
≥
0
t\ge 0
t
≥
0
. Its
x
x
x
–coordinate is
7
7
7
meters at
t
=
0
t=0
t
=
0
, and its
y
y
y
–coordinate is
9
9
9
meters at
t
=
2
t=2
t
=
2
. Find the particle’s complete position vector
r
(
4
)
\mathbf r(4)
r
(
4
)
, giving exact values.
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