How is Average Velocity Calculated in a Two-Part Journey?

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SUMMARY

The average velocity for a two-part journey can be calculated by dividing the total distance traveled by the total time taken. In the given scenario, a car travels 2.0 hours at 40 km/h (80 km) and then 2.0 hours at 60 km/h (120 km). The total distance is 200 km, and the total time is 4.0 hours, resulting in an average velocity of 50 km/h. This method emphasizes the importance of considering each segment of the journey separately before combining them for the final calculation.

PREREQUISITES
  • Understanding of basic physics concepts, specifically velocity and distance.
  • Familiarity with the formula for average velocity: average velocity = total distance / total time.
  • Basic arithmetic skills for calculating total distance and total time.
  • Knowledge of how to handle piecewise functions in motion problems.
NEXT STEPS
  • Study the concept of piecewise functions in physics to understand non-continuous motion.
  • Learn more about average speed versus average velocity in different contexts.
  • Explore additional examples of average velocity calculations in multi-segment journeys.
  • Review the principles of kinematics to deepen understanding of motion equations.
USEFUL FOR

Students studying physics, educators teaching motion concepts, and anyone interested in understanding average velocity calculations in real-world scenarios.

CrusaderX
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Hi guys, I just started taking physics 2 days ago at my school. One of our questions is:

"You drive a car 2.0 hours at 40km/h, then 2.0 hours at 60 km/h What is your average velocity?"

Ok, from what I understand, Average Velocity is:

delta v = delta distance / delta time

So, To find delta distance, I need to subtract 120 - 80 since 2 hours at 40 km/h is 80 and 2 hours at 60 km/h is 120.

And to get delta time, I'd have to subtract two from two... leaving zero. Well since you can't divide by zero, I'm stuck from here. I've looked at some sites online, but it's not helping me. Can someone help me out here? I'm guessing it's 50km/h from regular average, but I want to make sure.

Thanks in advance!:biggrin:
 
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You need to think about this. I think you should do this in two parts.

Delta means final - initial, you are correct. But you can't do this all at once because it is NOT contiuous, i.e. the velocity jumps from one magnitude to the other.

So you have to find the initial distance and time, and add this to the next distance and time. I think you should take the total distance and divide it by the total time.
 

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