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INSTANTANEOUS VELOCITY AND SPEED

Velocities of different instants

Average velocity does not tell how fast an object moves at different instants of time

v

Velocity is the of change of displacement with respect to

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When time interval becomes infinitesimally small

In the limit ∆t → 0, the line AB in the figure becomes to the position-time curve at the point. And its is the velocity at that point

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Instantaneous speed

If velocity of a body is 10 m/s, its Instantaneous speed is 10 m/s

If velocity of a body is 10 m/s, its Instantaneous speed is -10 m/s

Instantaneous speed at an instant is equal to the of the instantaneous velocity at that instant

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