How quickly are you moving relative to the ground?

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SUMMARY

The discussion focuses on calculating the speed of a person moving relative to the ground while on a bus traveling at 120 km/h. The bus speed is converted to 33.4 m/s, and the person's walking speed is 2.5 m/s. The total speed relative to the ground is determined by the equation vpg = vpb + vbg, resulting in a final speed of 35.83 m/s. It is emphasized that direction must be considered when adding velocities, particularly when they are in opposite directions.

PREREQUISITES
  • Understanding of relative velocity concepts
  • Familiarity with unit conversions (km/h to m/s)
  • Knowledge of vector addition in physics
  • Basic algebra for solving equations
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  • Study the principles of relative motion in physics
  • Learn about vector addition and subtraction
  • Practice unit conversion techniques between different speed measurements
  • Explore real-world applications of relative velocity in transportation
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Students studying physics, educators teaching motion concepts, and anyone interested in understanding relative velocity in everyday scenarios.

emily081715
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Homework Statement


On a long bus ride, you walk from your seat to the back of the bus to use the restroom. The bus is driving at 120 km/h , and you walk at 2.5 m/s from your seat to the restroom.
How quickly are you moving relative to the ground?

Homework Equations


vpg=vpb+vbg

The Attempt at a Solution


120 km/h= 33.4m/s[/B]
vpg= 33.4+ 2.5= 35.83 m/s
 
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Be careful about what direction the bus and you are going. Use the appropriate sign for each. You shouldn't add if they are in opposite directions.
 

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