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 37: 73a

Answer

$x=82.0m$

Work Step by Step

When the car overtakes the truck, we know that they have travelled the same distance. Thus, we know: $x_{car}=x_{truck}$ Thus, we find the following equation: $\frac{1}{2}at^{2}=vt$ We plug in the known values to obtain: $\frac{1}{2}(2.2m/s^{2})t^{2}=(9.5m/s)t$ $t=2\times\frac{(9.5m/s)}{(2.2m/s^{2})}=8.64s$ We now find: $x=vt=(9.5m/s)(8.64s)=82.0m$
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