What is the magnitude of the average velocity v of the car?

AI Thread Summary
The discussion focuses on calculating the average velocity of a car traveling along a quarter-circle path at a constant speed. Key points include the need to differentiate between distance traveled and displacement, as well as the importance of using the radius of the circle to determine the arc length. The average velocity is derived from the displacement over time, which can be calculated using the car's speed and the angle covered. Participants emphasize the confusion arising from mixing variables and suggest clarifying the definitions of distance and displacement. Understanding these concepts is crucial for accurately determining the average velocity of the car.
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Homework Statement


A car is traveling a road that makes quarter of a circle with a constant speed s. What is the magnitude of the average velocity v of the car?

Homework Equations

The Attempt at a Solution


this is what I have down but I am not sure if I am right
*constant speed formula
s=delta x/delta t
delta x=s(delta t)

*magnitude formula
|v|=squareroot x^2 + y^2

*average velocity
V=delta x/delta t
__________________________
Problem:
V=delta x/ delta t
V=s(delta t) / delta t
 
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You are mixing different lengths here, the x (and y) for the difference in position and the motion along the circle. And you use the same variables for the magnitude of v which makes things even more confusing.

It is convenient to introduce the radius r of the circle. What is the path traveled by the car? At speed s, how long will it take?
How far away from its original position is it afterwards?
 
I hope you mean displacement when you say ##x## you can find the arc length as you know the speed of the car as ##s## and you now the angle covered 90degrees so from that you can find the displacement of the car, and then enough can do the rest.
 
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