Fundamentals of Physics Extended (10th Edition)

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

Chapter 2 - Motion Along a Straight Line - Problems - Page 37: 74

Answer

$t\approx1.29s$

Work Step by Step

Make a triangle with a height of $35m$ and a base that is parallel to the plane's flight path.. To calculate the distance that the plane will fly, use the side ratio for the tangent of the angle: $tan\theta=\frac{opposite}{adjacent}$ $tan(4.3^{\circ})=\frac{(35m)}{x}$ $x=\frac{(35m)}{tan(4.3^{\circ})}\approx465.5m$ Convert the plane's speed into meters per second: $1300km/h\times\frac{1000m}{1km}\times\frac{1h}{3600s}\approx361.1m/s$ Calculate the time for the plane to reach the ground: $t=\frac{d}{v}=\frac{465.5m}{361.1m/s}\approx1.29s$
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