Instantaneous Speed and Velocity Class 11 Notes | EduRev

Class 11 : Instantaneous Speed and Velocity Class 11 Notes | EduRev

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Instantaneous velocity

The rate of change of displacement of an object in a particular direction is its velocity. Its S.I unit is meter per second.
Instantaneous Speed and Velocity Class 11 Notes | EduRev

v⃗ =ds⃗ dt
The direction of instantaneous velocity at any time gives the direction of motion of a particle at that point in time. The magnitude of instantaneous velocity equals the instantaneous speed. This happens because, for an infinitesimally small time interval, the motion of a particle can be approximated to be uniform.

Learn how to calculate Relative  Velocity in Two Dimensions here.

Instantaneous Speed

The average velocity tells us how fast an object has been moving over a given time interval but does not tell us how fast it moves at different instants of time during that interval. For this, we define instantaneous speed. It is the rate of change of distance with respect to time.
Instantaneous speed is always greater than or equal to zero and is a scalarquantity. For uniform motion, instantaneous speed is constant. To understand it in simple words we can say that instantaneous speed at any given time is the magnitude of instantaneous velocity at that time. It is a limit of the average speed as the time interval become very small.

A moving object does not have the same speed during its travel. Sometimes it speeds up and sometimes slows down. At a given instant time what we read from the speedometer is instantaneous speed. When a cop pulls you over for speeding, he clocked your car’s instantaneous speed or speed at a specific point in time as your car sped down the road.

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