Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter1: Introduction And Vectors
Section: Chapter Questions
Problem 55P
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Assume the equation x = At3 + Bt describes the motion of a particular object, with x having the dimension of length and t having the dimension of time. Determine the dimensions of the constants A and B. (Use the following as necessary: L and T, where L is the unit of length and T is the unit of time.)
[A] =
LT3
[B] =
LT
(b) Determine the dimensions of the derivative
dx/dt = 3At2 + B.
(Use the following as necessary: L and T, where L is the unit of length and T is the unit of time.)
[dx/dt] =
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