Finding distance of two runners

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SUMMARY

The problem involves two runners, A and B, with initial positions relative to a flagpole and constant velocities. Runner A starts 6.0 km west of the flagpole, moving east at 4.8 km/h, while Runner B starts 6.6 km east, moving west at 8.6 km/h. To find the distance from the flagpole when their paths cross, one can calculate their positions over time and determine when they are equal. A suggested approach is to analyze their positions after 30 minutes to visualize their movement.

PREREQUISITES
  • Understanding of relative motion and velocity
  • Basic algebra for solving equations
  • Concept of time-distance relationships
  • Familiarity with linear equations
NEXT STEPS
  • Calculate the position of Runner A and Runner B as functions of time
  • Determine the time at which their positions are equal
  • Explore the concept of relative velocity in one-dimensional motion
  • Practice similar problems involving linear motion and crossing paths
USEFUL FOR

Students studying physics, particularly in kinematics, and anyone interested in solving problems related to relative motion and distance calculations.

gotpink74
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1. Homework Statement
Runner A is initially 6.0 km west of a flagpole and is running with a constant velocity of 4.8 km/h due east. Runner B is initially 6.6 km east of the flagpole and is running with a constant velocity of 8.6 km/h due west. What will be the distance of the two runners from the flagpole when their paths cross?


2. Homework Equations
i have no clue

The Attempt at a Solution


i don't even know where to start
HELP!
 
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gotpink74 said:
1. Homework Statement
Runner A is initially 6.0 km west of a flagpole and is running with a constant velocity of 4.8 km/h due east. Runner B is initially 6.6 km east of the flagpole and is running with a constant velocity of 8.6 km/h due west. What will be the distance of the two runners from the flagpole when their paths cross? 2. Homework Equations
i have no clue

The Attempt at a Solution


i don't even know where to start
HELP!


You could consider where they will be 30 minutes after the start of this problem, just to get a feel for what is happening.
 

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