4. Consider the physical quantities s, v, a, and t with dimensions [s] = L, [v] = LT1, [a] = LT2, and [t] = T. Determine whether each of the following equations is dimensionally consistent. a. v² = 2as b. s= vt? + 0.5at? c. v = s/t d. a = v/t

4. Consider the physical quantities s, v, a, and t with dimensions [s] = L, [v] = LT1, [a] = LT2, and [t] = T. Determine whether each of the following equations is dimensionally consistent. a. v² = 2as b. s= vt? + 0.5at? c. v = s/t d. a = v/t

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 5P

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Question

4. Consider the physical quantities s, v, a, and t with dimensions [s] = L, [v] =
LT1, [a] = LT-2, and [t] = T. Determine whether each of the following
equations is dimensionally consistent.
a. v? = 2as
%3D
b. s = vt? + 0.5at?
c. v = s/t
d. a = v/t

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