Calculating Distance: Solving a Velocity Problem with Runners A and B

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SUMMARY

The problem involves calculating the meeting point of two runners, A and B, based on their initial positions and velocities. Runner A starts 4.0 miles west of a flagpole, running east at 6.0 miles per hour, while Runner B starts 3.0 miles east of the flagpole, running west at 5.0 miles per hour. To determine the distance from the flagpole when they meet, one must calculate the time it takes for both runners to cover the distance between them. The solution involves setting their distance equations equal to each other and solving for time.

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  • Understanding of linear motion and constant velocity
  • Basic algebra for solving equations
  • Knowledge of distance, speed, and time relationships
  • Familiarity with problem-solving techniques in physics
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  • Study the concept of relative velocity in physics
  • Learn how to set up and solve distance equations
  • Explore examples of motion problems involving multiple objects
  • Practice calculating meeting points using different initial conditions and velocities
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Students in physics courses, particularly those studying motion, as well as anyone needing to understand concepts of velocity and distance in practical scenarios.

kfink85
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I just transferred to UMD and want to do well in this course because I need a C or better to get into my major (Psychology). So any help on the problem would be much appreciated. I got through most of them fine except this one. I am stumped. :-p

1. Runner A is initially 4.0 mi west of a flagpole and is running with a constant velocity of 6.0 mi/h due east. Runner B is initially 3.0 mi east of the flagpole and is running wtih a constant velocity of 5.0 mi/h due west. How far are the runners from the flagpole when they meet?

Thanks in advance to anyone that can offer any explanations or answers.
 
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HINT: How much time does it take for the runners to meet?
 

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