Average velocity (should be easy )

AI Thread Summary
In a relay race, Edith runs 25.1m out and back, taking 19.1 seconds for the first leg and 14.1 seconds for the return. While her average speeds for each leg are 1.31 m/s and 1.78 m/s respectively, the average velocity for the entire trip is not simply the average of these speeds. Average velocity is calculated based on total displacement divided by total time, which in this case is zero since she returns to the starting point. The correct approach involves recognizing that average speed is different from average velocity, with the average velocity ultimately being zero. Understanding the distinction between these concepts is crucial for solving similar problems.
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Average velocity (should be easy...)

Homework Statement



In a relay race, each contestant runs a distance 25.1m while carrying an egg balanced on a spoon, turns around, and comes back to the starting point. Edith runs the first distance 25.1m in a time = 19.1s. On the return trip she is more confident and takes only time = 14.1s.

Homework Equations




The Attempt at a Solution



What is her average velocity for the entire round trip?

so i found the avg vel of her 1st trip... 25.1m / 19.1s = 1.31 m/s
then i found the avg vel of her 2nd trip... 25.1m / 14.1s = 1.78 m/s

So then wouldn't the avg vel of the entire trip just be
... (1.31+1.78) / 2 = 1.55 m/s

This is wrong though..
 
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It's important to distinguish between average velocity and average speed.
I think the question wants you to find the average speed. I'll explain why in a moment.
Average speed is total distance traveled divided by total time taken. It's not calculated as the average of the two speeds over the two halves of the journey.
To find the answer, you need to know the total distance run, and divide it by the total time taken.

Average velocity is total displacement divided by total time and is a vector.
The total displacement is zero because the runner returns to the start. The average velocity is therefore zero.
Check what the question actually asks for.
 


It does say average velocity and the answer was 0. I wasnt thinking that displacement was zero i was thinking it was 50.2 (the total distance).

Thank you for clearing that up.
 
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