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Mathematics
Problem
The position of a particle moving in space is given by the vector-valued function
r
(
t
)
\mathbf r(t)
r
(
t
)
. Which expression gives the particle’s speed at time
t
t
t
? a)
∣
r
(
t
)
∣
|\mathbf r(t)|
∣
r
(
t
)
∣
b)
d
d
t
∣
r
(
t
)
∣
\displaystyle\frac{d}{dt}|\mathbf r(t)|
d
t
d
∣
r
(
t
)
∣
c)
∣
r
′
(
t
)
∣
|\mathbf r'(t)|
∣
r
′
(
t
)
∣
d)
∣
r
′
(
t
)
∣
2
|\mathbf r'(t)|^{2}
∣
r
′
(
t
)
∣
2
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