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: 8a

Answer

1080km

Work Step by Step

Displacement is only concerned with distance from the starting point so we will call the starting point for the plane (0,0). The plane moves 483km east and then 966km south, meaning that it is now positioned at the point (483,-966) where East is + x and North is + y To find the total displacement, we need to find the distance between this final point and the initial point. We use the formula: $ distance = \sqrt (x^2 +y^2) = \sqrt(483^2 + (-966)^2) = \sqrt(1166445)$ this distance is 1080km so the displacement of the plane is 1080km
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