How Does the Pilot's Speed Affect the Observed Falling Speed of a Package?

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SUMMARY

The discussion centers on the relationship between the speed of a pilot flying horizontally and the observed falling speed of a package. A stationary observer on the ground sees the package falling at speed v1, while the pilot perceives it falling vertically at speed v2. The key to solving this problem lies in applying the Pythagorean Theorem to relate the velocities of the package and the pilot. The pilot's speed relative to the ground can be determined by analyzing the velocity vectors involved.

PREREQUISITES
  • Understanding of basic physics concepts, particularly motion and velocity.
  • Familiarity with vector representation of motion.
  • Knowledge of the Pythagorean Theorem.
  • Ability to visualize and draw velocity vectors.
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  • Study the principles of relative motion in physics.
  • Learn how to apply the Pythagorean Theorem in vector analysis.
  • Explore graphical methods for representing velocity vectors.
  • Investigate real-world applications of relative velocity in aviation.
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Students studying physics, particularly those focusing on motion and velocity, as well as educators seeking to explain concepts of relative motion in practical scenarios.

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1. At a particular instant, a stationary observer on the ground sees a package falling with speed v1 at an angle to the vertical. To a pilot flying horizontally at constant speed relative to the ground, the package appears to be falling vertically with a speed v2 at that instant.
WHAT IS THE SPEED OF THE PILOT RELATIVE TO THE GROUND.


2. Homework Equations
Pythagorean Theorem


The Attempt at a Solution


I have no idea how to draw this picture up. please help.
thanks
 
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draw the velocity vectors of the package and the pilot. the pilot sees the package as is it falls vertically - use that as a connection between their vectors.
 

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