Average velocity equals instantaneous velocity at midpoint for quadratic position

dmonlama · Nov 24, 2007

Homework Statement

a. Show that if the position x of a moving point is given by a quadradic function of t,x = At^2 + Bt + C, then the average velocity over any time iunterval [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)?

CompuChip · Nov 25, 2007

How do you calculate the average velocity over a given interval?
How do you calculate the instantaneous velocity at a given moment?
Can you give us the formulas?

Average velocity equals instantaneous velocity at midpoint for quadratic position

Homework Statement

Discussion

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