Average Velocity and resultant velocity

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SUMMARY

The discussion clarifies the concepts of average velocity and resultant velocity through a practical example involving a hiker's journey. The hiker walks 25.0 km southeast in 8 hours and then 40.0 km at 60.0° north of east in 12 hours. Average velocity is defined as total displacement divided by total time, while resultant velocity is the vector sum of the individual velocity vectors, even if not applied simultaneously. The distinction between these two types of velocity is crucial for accurate motion analysis.

PREREQUISITES
  • Understanding of vector addition in physics
  • Basic knowledge of displacement and time calculations
  • Familiarity with trigonometric functions for angle calculations
  • Concept of average speed versus average velocity
NEXT STEPS
  • Calculate average velocity using the formula: total displacement / total time
  • Explore vector addition techniques for resultant velocity calculations
  • Study the effects of direction on velocity vectors
  • Learn about graphical representation of vectors in physics
USEFUL FOR

Students of physics, educators teaching motion concepts, and anyone interested in understanding the differences between average and resultant velocity in real-world scenarios.

cherylrondo
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A hiker begins a trip by first walking 25.0 km south east from her base camp in 8 hours. On the second day, she walks 40.0 km 60.0° north of east in 12 hours, at which point she discovers a forest ranger's tower.

Determine the average velocity of the hiker
Determine the resultant velocity of the hiker

I am confused wit the differences between resultant velocity and average velocity

Thank you
 
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We speak of the resultant velocity when we have two (or more) motions happening simultaneously, when we know the velocity of one motion with respect to O (whatever this is), and the velocity of the second motion with respect to the first motion; then we can find out the velocity of the second motion with respect to O as its resultant velocity.

In your problem, however, I do not see any simultaneous motions.
 
cherylrondo said:
A hiker begins a trip by first walking 25.0 km south east from her base camp in 8 hours. On the second day, she walks 40.0 km 60.0° north of east in 12 hours, at which point she discovers a forest ranger's tower.

Determine the average velocity of the hiker
Determine the resultant velocity of the hiker

I am confused wit the differences between resultant velocity and average velocity

Thank you
resultant velocity here apparently is the vector sum of the velocity vectors, although not simultaneously applied. Average velocity is total displacement over total time.
 

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