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What does d|vec(v)|//dt and |d vec(v)//d...

What does `d|vec(v)|//dt` and `|d vec(v)//dt|` represent ? Can these be equal ? Can. (a) `d|vec(v)|//dt = 0` while `|d vec(v)//dt| != 0` (b) `d|vec(v)|//dt != 0` while `|d vec(v)//dt| = 0`?

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`(d|vecv|)/(dt) ` represents time rate of change of speeds as ` |vecv | = v` ,
while ` |(dvecv)/(dt)|` represents magnitude of acceleration
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