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: 110


$\Delta x=94.4m$

Work Step by Step

All units must be in SI units. The SI unit for speed is $m/s$, so the speed must be converted to m/s using dimensional analysis. $$\frac{3400km}{1hr} \times \frac{1hr}{60min} \times \frac{1min}{60s} \times \frac{1000m}{1km}$$ $$=944m/s$$ The time is $100ms$, or $0.1s$. Use the velocity equation $$v=\frac{\Delta x}{\Delta t}$$ to solve for $\Delta x$. $$\Delta x = v\Delta t$$ Substitute known values of $v=944m/s$ and $\Delta t=0.1s$ to get a displacement of $$\Delta x= (944m/s)(0.1s)=94.4m$$
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