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Problem
Problem
A particle follows the path
r
=
1
+
θ
r = 1 + \theta
r
=
1
+
θ
with angular coordinate
θ
(
t
)
=
ln
(
1
+
2
t
)
\theta(t) = \ln(1 + 2t)
θ
(
t
)
=
ln
(
1
+
2
t
)
for
t
≥
0
t \ge 0
t
≥
0
. Compute the Cartesian components of the acceleration vector
⟨
a
x
,
a
y
⟩
\langle a_x, a_y \rangle
⟨
a
x
,
a
y
⟩
at
t
=
0.5
t = 0.5
t
=
0.5
.
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