Calculus, 10th Edition (Anton)

Published by Wiley
ISBN 10: 0-47064-772-8
ISBN 13: 978-0-47064-772-1

Chapter 2 - The Derivative - 2.1 Tangent Lines And Rates Of Change - Exercises Set 2.1 - Page 120: 5

Answer

The curve will be a straight line with a gradient equal to the particle's velocity

Work Step by Step

If the velocity of the particle is constant, the gradient of the position-time curve is constant, so it will be a straight line. The gradient of this line will be the particle's velocity as velocity is the rate of change of position.
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