Velocity of a plane when you hear a sonic boom?

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    Plane Velocity
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SUMMARY

The discussion centers on calculating the velocity of a plane when a sonic boom is heard at a 45° angle from the observer's perspective. The relevant equation is derived from the Doppler effect for a receding source, specifically f- = fo / (1+Vsource/c). To solve the problem, participants emphasize the importance of constructing a triangle diagram to visualize the speeds involved and applying trigonometric principles to determine the plane's speed accurately.

PREREQUISITES
  • Doppler effect principles
  • Basic trigonometry
  • Understanding of sonic booms
  • Knowledge of speed of sound in air
NEXT STEPS
  • Study the Doppler effect in detail, focusing on applications in aviation.
  • Learn how to construct and analyze triangle diagrams in physics problems.
  • Review trigonometric functions and their applications in real-world scenarios.
  • Explore the physics of sonic booms and their implications in aerodynamics.
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Students in physics, aviation enthusiasts, and anyone interested in the principles of sound and motion related to sonic booms.

KoontzyN
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Homework Statement


A plane flies directly over your head. When the plane is 45° above the horizon from your perspective, you hear a sonic boom. How fast is the plane flying?

Homework Equations


Doppler effect for a receding source
f- = fo / (1+Vsource/c)

The Attempt at a Solution


Any help would be appreciated, I'm not sure where to start!
 
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The doppler shift of the frequency is not relevant. You need to make a triangle diagram of the speeds and do a little trigonometry.
 

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