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Mathematics
Mathematics
Problem
A particle travels along the circle of radius
5
5
5
according to
r
(
t
)
=
⟨
5
cos
t
,
5
sin
t
⟩
\mathbf{r}(t)=\langle 5\cos t, 5\sin t\rangle
r
(
t
)
=
⟨
5
cos
t
,
5
sin
t
⟩
for
0
≤
t
≤
π
0 \le t \le \pi
0
≤
t
≤
π
. What is the particle’s average speed on this interval? a)
5
π
units
s
−
1
5\pi\,\text{units}\,\text{s}^{-1}
5
π
units
s
−
1
b)
10
π
units
s
−
1
\frac{10}{\pi}\,\text{units}\,\text{s}^{-1}
π
10
units
s
−
1
c)
5
units
s
−
1
5\,\text{units}\,\text{s}^{-1}
5
units
s
−
1
d)
25
units
s
−
1
25\,\text{units}\,\text{s}^{-1}
25
units
s
−
1
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