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.)

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
Chapter3: Motion In Two Dimensions
Section: Chapter Questions
Problem 31P: Figure P3.31 represents the total acceleration of a particle moving clockwise in a circle of radius...
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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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