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Mathematics
Problem
A particle moves according to
r
(
t
)
=
⟨
t
+
1
,
ln
(
t
+
2
)
⟩
\mathbf r(t)=\langle \sqrt{t+1},\, \ln (t+2) \rangle
r
(
t
)
=
⟨
t
+
1
,
ln
(
t
+
2
)⟩
for
t
≥
−
1
t\ge -1
t
≥
−
1
. What is the particle’s speed at
t
=
0
t=0
t
=
0
? a)
1
1
1
b)
5
2
\dfrac{\sqrt5}{2}
2
5
c)
2
2
\dfrac{\sqrt2}{2}
2
2
d)
1
2
\dfrac12
2
1
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