Average and instantaneous velocitya. Show that if the

Chapter 3, Problem 14AAE

(choose chapter or problem)

Problem 14AAE

Average and instantaneous velocity

a. Show that if the position x of a moving point is given by a quadratic function of t, x = At2 + Bt + Cthen the average velocity over any time interval [t1, t2] is equal to the instantaneous velocity at the midpoint of the time interval.

b. What is the geometric significance of the result in part (a)?

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