Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 4 - Motion in Two and Three Dimensions - Problems - Page 88: 70d

Answer

Negative x direction

Work Step by Step

The boat is moving upstream in the positive x direction at 14km/h and the water is flowing at 9km/h. Since the boat is moving upstream, it is traveling AGAINST the current, meaning that the river is flowing in the negative x direction. Therefore, to find the speed of the boat relative to the ground we need to subtract the two (opposite directions) which would be: 14km/h (speed of boat) - 9km/h (speed of water) = 5km/h in the positive x The boy moves 6km/h from the front to the back of the boat (negative x direction) relative to the boat. Therefore he moves 5km/h (boat speed) - 6km/h (child speed) = -1km/h relative to the ground
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