The speed, v, of an object is given by the equation v = At - Bt, where t refers to time. What are the dimensions of A and B? Three students derive the following equations in which x refers to distance traveled, v the speed, a the acceleration (m/s² ), and t the time, and the subscript (,) means a quantity at time t = 0: (a) x = vt? + 2at, (b) x=vot + at², and (c) x=vot + 2at². Which of these could possibly be correct according to a dimensional check?

The speed, v, of an object is given by the equation v = At - Bt, where t refers to time. What are the dimensions of A and B? Three students derive the following equations in which x refers to distance traveled, v the speed, a the acceleration (m/s² ), and t the time, and the subscript (,) means a quantity at time t = 0: (a) x = vt? + 2at, (b) x=vot + at², and (c) x=vot + 2at². Which of these could possibly be correct according to a dimensional check?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter1: Getting Started

Section: Chapter Questions

Problem 18PQ: Acceleration a has the dimensions of length per time squared, speed v has the dimensions of length...

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