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Mathematics
Problem
Let
u
=
g
(
t
)
u=g(t)
u
=
g
(
t
)
and let the position vector be
r
(
u
)
\mathbf r(u)
r
(
u
)
. Express
d
r
d
t
\dfrac{d\mathbf r}{dt}
d
t
d
r
solely in terms of
d
r
d
u
\dfrac{d\mathbf r}{du}
d
u
d
r
and
d
u
d
t
\dfrac{du}{dt}
d
t
d
u
.
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