Uses of the average velocity/speed

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In summary, the conversation discusses the use of average velocity or average speed in solving kinematic problems and determining travel time. While these concepts may be used as an intermediary step in deriving instant velocity or instant speed, they are not commonly utilized in other contexts. However, in certain situations, such as constant acceleration problems, average velocity may be used instead of the SUVAT equations. In terms of travel time, using average speed to calculate distance can provide a rough estimate, but it is important to consider what is being averaged over. Ultimately, these concepts may be more confusing than clarifying in certain scenarios.
  • #1
albertrichardf
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Hi,

I was wondering if there is any use for the average velocity or average speed. I've seen them used as an intermediary step in textbooks to derive the instant velocity or instant speed. Other than that, I've never ever seen them used, and searching online just returns definitions and calculations.

Any uses for these?

Thanks for answering.
 
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  • #2
If I am driving from San Francisco to Los Angeles at an average speed of 50 miles per hour, how long will it take to get there?
 
  • #3
Constant acceleration kinematic problems can often be solved using average velocity considerations instead of the SUVAT equations.
 
  • #4
Vanadium 50 said:
If I am driving from San Francisco to Los Angeles at an average speed of 50 miles per hour, how long will it take to get there?
About half a day, based on the distance google returned.
I didn't think of using it like that. Thanks for answering.
 
  • #5
PeroK said:
Constant acceleration kinematic problems can often be solved using average velocity considerations instead of the SUVAT equations.
I didn't think of that. Thanks for answering.
 
  • #6
Vanadium 50 said:
If I am driving from San Francisco to Los Angeles at an average speed of 50 miles per hour, how long will it take to get there?
If I were pedantic, I'd point out that it depends on what it was you were averaging over. Time or distance? :wink:
 
  • #7
Ibix said:
If I were pedantic

Good thing you're not, then, because that would be a complication more confusing than clarifying. :wink:
 
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  • #8
PeroK said:
Constant acceleration kinematic problems can often be solved using average velocity considerations instead of the SUVAT equations.

One of the SUVAT equations effectively contains the average velocity. I'm thinking of s = t*(u+v)/2
 

FAQ: Uses of the average velocity/speed

What is the difference between average velocity and average speed?

The average velocity is a vector quantity that takes into account both the magnitude and direction of an object's motion, while average speed is a scalar quantity that only measures the magnitude of an object's motion.

How is average velocity calculated?

Average velocity is calculated by dividing the total displacement of an object by the total time taken for the object to travel that distance. The formula for average velocity is: v = Δx/Δt, where v is the average velocity, Δx is the change in position, and Δt is the change in time.

What are some real-life examples of average speed and average velocity?

An example of average speed would be a car traveling at a constant speed of 60 miles per hour for 2 hours, covering a total distance of 120 miles. An example of average velocity would be a person walking 4 miles north and then 2 miles east in 1 hour, resulting in an average velocity of 4 miles/hour northeast.

Why is average velocity/speed important in physics?

Average velocity and speed are important concepts in physics because they allow us to measure an object's motion and understand how it changes over time. They also help us analyze the relationship between an object's displacement, time, and speed, which is crucial in many areas of physics such as kinematics and dynamics.

Can average velocity/speed be negative?

Yes, average velocity and speed can be negative. This occurs when an object travels in the opposite direction of its initial position. For example, if a car travels from point A to point B, then turns around and returns to point A, its average velocity will be 0, but its average speed will be positive.

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