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

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SUMMARY

The average velocity v of a car traveling along a quarter-circle path at a constant speed s can be determined using the formula V = delta x / delta t. The displacement of the car, which is crucial for calculating average velocity, can be found by considering the radius r of the circle and the angle covered (90 degrees). The arc length traveled by the car can be calculated using the speed s and the time taken, allowing for accurate determination of the average velocity.

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  • Understanding of circular motion and displacement
  • Familiarity with the concepts of average velocity and speed
  • Knowledge of basic trigonometry and geometry related to circles
  • Ability to manipulate equations involving delta x and delta t
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  • Study the relationship between speed, distance, and time in circular motion
  • Learn how to calculate arc length for circular paths
  • Explore the concept of displacement versus distance in physics
  • Review the derivation of average velocity formulas in different motion scenarios
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Students studying physics, particularly those focusing on kinematics and circular motion, as well as educators looking to clarify concepts related to average velocity and displacement.

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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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