Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 3 - Differentiation - 3.4 Rates of Change - Exercises - Page 129: 9

Answer

$a)\ average\ velocity = 100\ km/hr$ $b)\ average\ velocity = 100\ km/hr$ $c)\ average\ velocity = 0\ km/hr$ $d)\ average\ velocity = -50\ km/hr$

Work Step by Step

We know that: $average\ velocity = \frac{total\ distance\ traveled}{total\ time}$ So we can substitute the values into the equation as follows: $$a)\ average\ velocity = \frac{50-0}{0.5-0} = 100\ km/hr$$ $$b)\ average\ velocity = \frac{100-50}{1.0-0.5} = 100\ km/hr$$ $$c)\ average\ velocity = \frac{100-100}{1.5-1} = 0\ km/hr$$ $$a)\ average\ velocity = \frac{50-100}{2-1} = -50\ km/hr$$
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