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get it? contrast how is instantaneous acceleration different from average acceleration? identify the equation that you use to calculate the average acceleration of an object. science notebook - accelerated motion 40
Instantaneous acceleration is the acceleration at a specific instant in time, found by taking the derivative of the velocity - time function. Average acceleration is the change in velocity over a time - interval, calculated as the total change in velocity divided by the total time elapsed. The formula for average acceleration is $a_{avg}=\frac{\Delta v}{\Delta t}$, where $\Delta v = v_f - v_i$ (final velocity minus initial velocity) and $\Delta t=t_f - t_i$ (final time minus initial time).
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- Instantaneous acceleration is at a single moment; average acceleration is over a time - interval.
- The equation for average acceleration: $a_{avg}=\frac{v_f - v_i}{t_f - t_i}$