(II) Three students derive the following equations in which x refers to distance traveled, v the speed, a the acceleration (m/s²), t the time, and the subscript zero (0) t = 0. Here are their equations: (a) x = vt² + 2at, (b) x = vot + } ať, and (c) x = vot + 2ať?. Which of these could possibly be correct according to a dimensional check, and why? means a quantity at time

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter1: Matrices, Vectors, And Vector Calculus
Section: Chapter Questions
Problem 1.22P
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(II) Three students derive the following equations in
which x refers to distance traveled, v the speed, a the
acceleration (m/s²), t the time, and the subscript zero (0)
t = 0. Here are their
equations: (a) x = vt² + 2at, (b) x = vot + } ať, and
(c) x = vot + 2ať?. Which of these could possibly be
correct according to a dimensional check, and why?
means
a quantity at time
Transcribed Image Text:(II) Three students derive the following equations in which x refers to distance traveled, v the speed, a the acceleration (m/s²), t the time, and the subscript zero (0) t = 0. Here are their equations: (a) x = vt² + 2at, (b) x = vot + } ať, and (c) x = vot + 2ať?. Which of these could possibly be correct according to a dimensional check, and why? means a quantity at time
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