The distance travelled by a particle after time t is D(t) = t^3. Sketch the graph of distance D against time t, for t > 0. WITHOUT DOING ANY CALCULATIONS, use your sketch to explain (clearly and explicitly) whether the instantaneous velocity of the particle at t = 2 is greater than or less than the average velocity of the particle between time t = 1 and time t = 2.

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter1: Matrices, Vectors, And Vector Calculus
Section: Chapter Questions
Problem 1.27P: If r and are both explicit functions of time, show that
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The distance travelled by a particle after time t is D(t) = t^3.
Sketch the graph of distance D against time t, for t > 0.
WITHOUT DOING ANY CALCULATIONS, use your sketch to
explain (clearly and explicitly) whether the instantaneous velocity of the particle at t = 2 is greater than or less than the average velocity of the particle between time t = 1 and time t = 2.

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