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acceleration is the change in speed. Its unit is in [m/s^2 or m/s/s]. If at time t1, the speed is s1, and s2 at time t2, then acceleration = (s2-s1)/(t2-t1). That said, be aware of direction change too. The formula before only works when the direction is constant, and you can speak of speed, instead of velocity.

You can have acceleration even when the speed is constant. That happens when an object travels in a circle, for example. The acceleration is perpendicular to the velocity at each instance in time. Then acceleration, as a vector, is equal to dv/dt, where v is a vector which is time-varying (speed, on the other hand, is a scalar).

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