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 33: 22a



Work Step by Step

The position is given by $ x = ct^2 - bt^3 $ where x is in meters and t is in time. Since x is in meters, then we know that each of the terms on the right side (since they are subtracted), must have the same units, and must also be in meters. Since we have c * $t^2$ and we know that $t^2 $ will have units of $s^2$ and we know that overall $ct^2$ must have units of meters, then we have the following: $ m = c * s^2 $ and therefore, c has units of $m/s^2$
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