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 39: 118b

Answer

The insects require an additional time of $~~\frac{5.0}{v_s}~~$ when they travel the first $2.0~m$ without sailing.

Work Step by Step

In part (a), we found that $~~\frac{v_s}{v_{ns}} = 3.5$ Then: $~~v_{ns} = \frac{v_s}{3.5}$ We can find the time $t_s$ to complete $2.0~m$ with sailing: $t_s = \frac{2.0}{v_s}$ We can find the time $t_{ns}$ to complete $2.0~m$ without sailing: $t_{ns} = \frac{2.0}{v_{ns}}$ $t_{ns} = \frac{2.0}{\frac{v_s}{3.5}}$ $t_{ns} = \frac{7.0}{v_s}$ We can find the difference in times: $\Delta t = \frac{7.0}{v_s} - \frac{2.0}{v_s} = \frac{5.0}{v_s}$ The insects require an additional time of $~~\frac{5.0}{v_s}~~$ when they travel the first $2.0~m$ without sailing.
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