Suppose a car is travelling through a bend in a road that can be described by the hyperbola y = + 20 m when x is in meters. Additionally, when you know that when x = 100 m, the km km car is travelling at a speed of 40 and its speed is increasing at a rate of 8,000. Find: a) What is the radius of curvature of the road at the location x = 100 m? b) What are the normal and tangential acceleration of the car at this point? c) What is the magnitude of the car's acceleration? d) Bonus: If the car's x-position is increasing, what is its acceleration in Cartesian coordinates?

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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Suppose a car is travelling through a bend in a road that can be described by the hyperbola
y= 150
car is travelling at a speed of 40 and its speed is increasing at a rate of 8,000-
+ 20 m when x is in meters. Additionally, when you know that when x = 100 m, the
km
km
hr2
Find:
a) What is the radius of curvature of the road at the location x = 100 m?
b) What are the normal and tangential acceleration of the car at this point?
c) What is the magnitude of the car's acceleration?
d) Bonus: If the car's x-position is increasing, what is its acceleration in Cartesian coordinates?
Transcribed Image Text:Suppose a car is travelling through a bend in a road that can be described by the hyperbola y= 150 car is travelling at a speed of 40 and its speed is increasing at a rate of 8,000- + 20 m when x is in meters. Additionally, when you know that when x = 100 m, the km km hr2 Find: a) What is the radius of curvature of the road at the location x = 100 m? b) What are the normal and tangential acceleration of the car at this point? c) What is the magnitude of the car's acceleration? d) Bonus: If the car's x-position is increasing, what is its acceleration in Cartesian coordinates?
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