Question

$\frac{d\left|\overrightarrow{v}\right|}{dt}\ne 0while\left|\frac{d\overrightarrow{v}}{dt}\right|=0$.

• A. Yes its possible
  
• B. No its impossible
  
• C. Possible in some cases
  
• D. None of the above
  

Answer 1

Answer: (B)

No its impossible

When the acceleration of the body is zero then there is no change in the velocity of the body i.e its speed remains constant.

$⟹$ If $|\overrightarrow{a}|=|\frac{d\overrightarrow{v}}{dt}|=0$, then $|\overrightarrow{v}|=constant$ i.e $\frac{d|\overrightarrow{v}|}{dt}=0$

Hence option B is correct.