The figure shows the path of a particle that moves with position vector r(t) at time t.

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The figure shows the path of a particle that moves with position vector r(t) at time t.

(a) Draw a vector that represents the average velocity of the particle over the time interval 2 ≤ t ≤ 2.4.

(b) Draw a vector that represents the average velocity over the time interval 1.5 ≤ t ≤ 2.

(c) Write an expression for the velocity vector v(2).

(d) Draw an approximation to the vector v(2) and estimate the speed of the particle at t = 2.

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Calculus Early Transcendentals

ISBN: 9781337613927

9th Edition

Authors: James Stewart, Daniel K. Clegg, Saleem Watson, Lothar Redlin

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