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Mathematics
Mathematics
Problem
A particle moves in a plane such that its position vector is
r
(
t
)
=
3
cos
(
π
t
)
i
^
+
3
sin
(
π
t
)
j
^
\mathbf{r}(t)=3 \cos (\pi t) \hat{\mathbf{i}}+3 \sin (\pi t) \hat{\mathbf{j}}
r
(
t
)
=
3
cos
(
π
t
)
i
^
+
3
sin
(
π
t
)
j
^
for
t
t
t
in seconds. Find the velocity vector
v
(
t
)
\mathbf{v}(t)
v
(
t
)
and its magnitude.
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