a Show that if the position x of a moving point is given by a quadratic function of t, x At 2 Bt C, then the average velocity over any time interval t 1 , t 2 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)

Question: a. Show that if the position x of a moving point is given by a quadratic function of t, x = At 2 + Bt

a. Show that if the position x of a moving point is given by a quadratic function of t, x = At² + Bt + C, then 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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Question: a. Show that if the position x of a moving point is given by a quadratic function of t, x = At 2 + Bt

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