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ing car moves on a circle of constant radius b. If the speed of the car varies with time ording to the equation = ct, where c is a positive constant, show that the angle een the velocity vector and the acceleration vector is 45° at time t = √b/c. (Hint: At me the tangential and normal components of the acceleration are equal in magnitude.)

ing car moves on a circle of constant radius b. If the speed of the car varies with time ording to the equation = ct, where c is a positive constant, show that the angle een the velocity vector and the acceleration vector is 45° at time t = √b/c. (Hint: At me the tangential and normal components of the acceleration are equal in magnitude.)

College Physics
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 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A racing car moves on a circle of constant radius b. If the speed of the car varies with time t according to the equation = ct, where c is a positive constant, show that the angle between the velocity vector and the acceleration vector is 45° at time t = √√b/c. (Hint: At this time the tangential and normal components of the acceleration are equal in magnitude.)
Transcribed Image Text:A racing car moves on a circle of constant radius b. If the speed of the car varies with time t according to the equation = ct, where c is a positive constant, show that the angle between the velocity vector and the acceleration vector is 45° at time t = √√b/c. (Hint: At this time the tangential and normal components of the acceleration are equal in magnitude.)
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