Question
Differentiate between average and instantaneous velocity.
✓
Answer
Average velocity: Average velocity is the displacement divided by the time interval in which the displacement occurs.
$\vec{\text{v}}_{\text{av}}=\frac{\Delta\vec{\text{x}}}{\Delta\text{t}}$
Instantaneous velocity: Instantaneous velocity is defined as the limit of the average velocity as the time interval $\Delta\text{t}$ becomes infinitesimally small.
$\vec{\text{v}}=\lim\limits_{\Delta\text{t} \rightarrow 0}\frac{\Delta\vec{\text{x}}}{\Delta\text{t}}=\frac{\text{dx}}{\text{dt}}$
$\vec{\text{v}}_{\text{av}}=\frac{\Delta\vec{\text{x}}}{\Delta\text{t}}$
Instantaneous velocity: Instantaneous velocity is defined as the limit of the average velocity as the time interval $\Delta\text{t}$ becomes infinitesimally small.
$\vec{\text{v}}=\lim\limits_{\Delta\text{t} \rightarrow 0}\frac{\Delta\vec{\text{x}}}{\Delta\text{t}}=\frac{\text{dx}}{\text{dt}}$
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