Average velocity (should be easy )

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SUMMARY

The discussion clarifies the distinction between average velocity and average speed in the context of a relay race scenario. Edith runs a total distance of 50.2 meters (25.1m each way) with times of 19.1 seconds and 14.1 seconds for each leg, respectively. While her average speed is calculated as total distance divided by total time, resulting in 1.55 m/s, her average velocity is zero due to total displacement being zero upon returning to the starting point. This emphasizes the importance of understanding vector quantities in physics.

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  • Understanding of basic physics concepts, specifically velocity and speed
  • Familiarity with distance, time, and displacement calculations
  • Knowledge of vector vs. scalar quantities
  • Basic algebra for solving equations
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  • Learn about vector quantities and their applications in real-world scenarios
  • Explore examples of displacement in various motion problems
  • Practice calculating average speed and average velocity with different motion scenarios
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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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