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Problem
Problem
An object moves with constant acceleration
a
\mathbf{a}
a
. Which of the following expressions are also constant ? a.
d
∣
v
∣
d
t
\frac{d|\mathbf{v}|}{dt}
d
t
d
∣
v
∣
b.
∣
d
v
d
t
∣
\left| \frac{d\mathbf{v}}{dt} \right|
d
t
d
v
c.
d
(
v
2
)
d
t
\frac{d(v^2)}{dt}
d
t
d
(
v
2
)
d.
d
(
v
∣
v
∣
)
d
t
\frac{d\left(\frac{\mathbf{v}}{|\mathbf{v}|}\right)}{dt}
d
t
d
(
∣
v
∣
v
)
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