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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
^
Compute the total distance travelled and the average velocity between
t
=
0
t=0
t
=
0
and
t
=
2
t=2
t
=
2
seconds.
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