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College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 2P: (a) Suppose the displacement of an object is related to time according to the expression x = Bt2....

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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] =

(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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