Derive acceleration from velocity-time graph.
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For any v-t graph the acceleration is the slope of the graph. For average acceleration in a time period ‘t’ consider the change in velocity in time t and divide it by the time t. For instantaneous acceleration you need to go into the realm of differential calculus. You do the same process as above and then reduce the time period to infinitely short length. This gives you the instantaneous acceleration at that particular instant of time. Consider the graph below for greater clarity —
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