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 84: 12c

Answer

$ |\vec{v}_{avg}| =1.89$ m/s

Work Step by Step

$(c)$ We have found $\Delta\vec{r}=(-40.0m)\hat{i}+(40.0m)\hat{j}.$ Eq 4-8 gives us $ \displaystyle \vec{v}_{avg}=\frac{\Delta\vec{r}}{\Delta t}$ $ \vec{v}_{avg}$=$\displaystyle \frac{\Delta\vec{r}}{\Delta t}=\frac{(-40.0m)\hat{i}+(40.0m)\hat{j}}{30.0s}$ Its magnitude is $ |\vec{v}_{avg}|$=$\displaystyle \frac{|\Delta\vec{r}|}{\Delta t}=\quad$ (... we found $|\Delta\vec{r}$ in part a.) $=\displaystyle \frac{56.6m}{30.0s}$ $=1.89 m/s$
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