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: 5d

Answer

x = 12m

Work Step by Step

The position is given by the equation $ x = 3t - 4t^2 + t^3 $ where x is in meters and t is in seconds To find the position at t = 4 s we need to find x(4), or in other words, plug in 4 for t in the equation. This gives us $ x = 3(4) - 4(4)^2 + (4)^3 = 12 - 4*16 + 64 = 12 - 64 + 64 = 12 $ Therefore x = 12m
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