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Mathematics
Problem
When the vector-valued velocity function
v
(
t
)
\mathbf v(t)
v
(
t
)
is integrated with respect to
t
t
t
to obtain the position function
r
(
t
)
\mathbf r(t)
r
(
t
)
, what additional term must be included in the antiderivative to account for the unknown initial position?
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