Acceleration of an object as a function of time is a(t)=-8t
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While the instantaneous velocity gives you the slope at a single point in time, thus giving you the slope of the tangent line! ... v(t) = 3 means the object would be moving forward (positive). v(t) = -2 ... Therefore, the average velocity is 8. 2) Find the velocity function and the acceleration function for the function s(t) = 2t3 + 5t - 7.
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