Calculus (3rd Edition)

by Rogawski, Jon; Adams, Colin

Published by W. H. Freeman

ISBN 10: 1464125260

ISBN 13: 978-1-46412-526-3

Chapter 12 - Parametric Equations, Polar Coordinates, and Conic Sections - 12.2 Arc Length and Speed - Preliminary Questions - Page 610: 5

Answer

$$180cm.$$

Work Step by Step

Since the particle has a constant speed of $3 \ cm/s$, then the distance traveled in the first minute is $$s=\int_0^{60}\sqrt{x'^2+y'^2}dt=\int_0^{60}3dt=3t|_0^{60}=180cm.$$

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