Question

Statement 1: Magnitude of average velocity is equal to average speed.
Statement 2: Magnitude of instantaneous velocity is equal to instantaneous speed.

• A. Statement-1 is True; Statement-2 is True; Statement-2 is a correct explanation for Statement-1.
• B. Statement-1 is True; Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1.
• C. Statement-1 is True; Statement-2 is False.
• D. Statement-1 is False; Statement-2 is True.

Answer 1

The correct option is D Statement-1 is False; Statement-2 is True.

$\text{Average velocity}=\frac{\text{Displacement}}{\text{Time}}$, and $\text{average speed}=\frac{\text{distance}}{\text{time}}$ We know that, $|\text{Displacement}|\le \text{Distance}.$ $\Rightarrow \text{Average velocity}\le \text{Average speed}$. Magnitudes of instantaneous speed and instantaneous velocity are equal because for infinitesimally small interval of time, the motion of the particle can be approximated to be uniform. Thus, the displacement and distance covered in that particular instant becomes equal.