Question

It is the rate of change of distance and displacement with respect to time.
Why the word 'respect to time' is mentioned?​

Answer 1

Answer:

Velocity: The rate of change of displacement of an object (displacement over elapsed time) is velocity. Velocity is a vector since it has both magnitude (called speed) and direction.

Answer 2

Answer:

Velocity: The rate of change of displacement of an object (displacement over elapsed time) is velocity. Velocity is a vector since it has both magnitude (called speed) and direction.

Explanation:

Why the word 'respect to time' is mentioned?

Time derivative just means "rate of change with respect to time". The amount by which displacement (position in space) changes in a unit of time is the rate of change. If you plot position at different times as a graph, the slope of the graph is the rate of change, and also the first derivative with respect to time.