Average and Instantaneous Velocity

  • Thread starter dmonlama
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  • #1
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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)?
 

Answers and Replies

  • #2
CompuChip
Science Advisor
Homework Helper
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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?
 

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