Acceleration
Acceleration is defined as the rate of change of velocity with respect to time. Acceleration is the second derivative of displacement i.e. acceleration can be found by differentiating position with respect to time twice or differentiating velocity with respect to time once. The SI unit of acceleration is or metre per second squared.
If is the average acceleration and is the average velocity over the time interval then mathematically,
The instantaneous acceleration is the limit of the ratio and as approaches zero i.e.,
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