a. Show that if the position x of a moving point is given by a quadratic function
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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)?
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ANSWER a To find the average velocity over the time interval t1 t2 we first need to find the displac…View the full answer
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Related Book For
Thomas Calculus Early Transcendentals
ISBN: 9780321884077
13th Edition
Authors: Joel R Hass, Christopher E Heil, Maurice D Weir
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