KinematicsHardBloom L3
Question
Let $\overrightarrow{v}$ (t) be the velocity of a particle at time t. Then :
Options
A.|d$\overrightarrow{v}$ (t) / dt| and d|$\overrightarrow{v}$ (t)| / dt are always equal
B.|d$\overrightarrow{v}$ (t) / dt| and d|$\overrightarrow{v}$ (t)| / dt may be equal
C.d|$\overrightarrow{v}$ (t)| / dt can be zero while |d$\overrightarrow{v}$ (t) / dt| is not zero
D.d|$\overrightarrow{v}$ (t)| / dt ≠ 0 implies |d$\overrightarrow{v}$ (t) / dt| ≠ 0
Solution
Sol. $\left| \frac{d\overrightarrow{v}}{dt} \right|$= magnitude of net acceleration
$\frac{d\left| \overrightarrow{v} \right|}{dt}$ = tengential acceleration.
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