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 38: 91

Answer

(a) It takes $~~3.19~s~~$ to fall the first $50~m$ (b) It takes $~~1.33~s~~$ to fall the second $50~m$

Work Step by Step

(a) We can find the time it takes to fall $50~m$: $y = \frac{1}{2}at^2$ $t = \sqrt{\frac{2y}{a}}$ $t = \sqrt{\frac{(2)(50~m)}{9.8~m/s^2}}$ $t = 3.19~s$ It takes $~~3.19~s~~$ to fall the first $50~m$ (b) We can find the total time it takes to fall $100~m$: $y = \frac{1}{2}at^2$ $t = \sqrt{\frac{2y}{a}}$ $t = \sqrt{\frac{(2)(100~m)}{9.8~m/s^2}}$ $t = 4.52~s$ We can find the time it takes to fall the second $50~m$: $4.52~s - 3.19~s = 1.33~s$ It takes $~~1.33~s~~$ to fall the second $50~m$.
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