1.

Explain the differences between average and instantaneous velocity with examples.

Answer»

Average velocity : Average velocity of a body is defined as the change in position or displacement (Δx) divided by time interval (Δt) in which that displacement occurs.
\(\overrightarrow{v_{a v}}=\frac{\Delta \vec{x}}{\Delta t}=\frac{\overrightarrow{x_{2}}-\overrightarrow{x_{1}}}{t_{2}-t_{1}}\)

Instantaneous velocity : The instantaneous velocity of a body is the velocity of the body at any instant of time or at any point of its path.

\(\vec { v } =\lim _{ \Delta t\rightarrow 0 } \frac { \Delta \vec { x } }{ \Delta t } =\frac { d\vec { x } }{ dt } \)
\(\vec{v}=\frac{d \vec{x}}{d t}\)
Velocity can be positive, negative or zero.
By studying speed and velocity we come to the result that at any time interval average speed of an object is equal or more than the average velocity but instantaneous speed is equal to instantaneous velocity.


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