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 34: 33a

Answer

$a=3\frac{5}{9}m/s^{2}$

Work Step by Step

We first convert km/hr into meters per second: $56.0km/h\times\frac{1000m}{1km}\times\frac{1h}{3600s}=15\frac{5}{9}m/s$ We now use this value and other known values to solve: $d=v_{0}t+\frac{1}{2}at^{2}$ $d-v_{0}t=\frac{1}{2}at^{2}$ $a=2(d-v_{0}t)/t^{2}$ $a=2[(24.0m)-(15\frac{5}{9}m/s)(2.00s)]/(2.00s)^{2}=-3\frac{5}{9}m/s^{2}$ Magnitude: $3\frac{5}{9}m/s^{2}$
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