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 92: 124d

Answer

$25.7m$

Work Step by Step

Using the radius formula from the previous parts in this question: $r(t) = t \sqrt {V_o^2 - V_ogsin(\theta)t + \frac{g^2t^2}{2}}$ T=Now let's find r when $t=2.1s$: $r(2.1) = 2.1s \sqrt {(16m/s)^2 - 16m/s \times 9.8m/s^2 \times sin(40^{\circ}) \times2.1s+ \frac{(9.8m/s^2)^2(2.1s)^2}{2}}$ $r(2.1) =25.7m$
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