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

In summary, the problem asks for the magnitude of the average velocity of a car traveling on a quarter circle with a constant speed s. The equation for constant speed is s=delta x/delta t, and the magnitude formula is |v|=sqrt(x^2+y^2). To find average velocity, the equation is V=delta x/delta t. Introducing the radius r of the circle can make solving the problem more convenient. The arc length can be found using the speed of the car (s) and the angle covered (90 degrees), and the displacement can be found from this information. From there, the magnitude of the average velocity can be calculated.
  • #1
Lesliedenise57
1
0

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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  • #2
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?
 
  • #3
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.
 

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

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

The magnitude of the average velocity v of the car refers to the absolute value of the average velocity, regardless of its direction. It is a measure of how fast the car is moving without taking into account the direction of its motion.

How is the magnitude of the average velocity v of the car calculated?

The magnitude of the average velocity v of the car is calculated by dividing the total displacement of the car by the total time taken. This gives the average speed of the car, which is then converted to magnitude by ignoring its direction.

Why is the magnitude of the average velocity v of the car important?

The magnitude of the average velocity v of the car is important because it gives us a measure of the overall speed of the car regardless of its direction. This is useful in determining how fast a car is traveling and comparing it to other velocities.

What are some factors that can affect the magnitude of the average velocity v of the car?

Some factors that can affect the magnitude of the average velocity v of the car include acceleration or deceleration, changes in direction, and external forces such as wind resistance. These factors can impact the overall speed of the car and therefore affect its average velocity magnitude.

How does the magnitude of the average velocity v of the car differ from its instantaneous velocity?

The magnitude of the average velocity v of the car represents the overall speed of the car over a period of time, while the instantaneous velocity refers to the speed of the car at a specific moment in time. The magnitude of the average velocity takes into account the entire motion of the car, while the instantaneous velocity only considers a specific point in time.

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