Find the altitude and the speed of two jets with Doppler Effect

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SUMMARY

The discussion focuses on solving a physics problem involving two fighter jets flying at supersonic speeds and the Doppler Effect. The first jet travels at 4/3 the speed of the second jet, and the time intervals between the sonic booms are 1.086 seconds and 1.262 seconds. The relevant equation for this scenario is f0=(c±v0)/(c-+vs), which relates the observed frequency to the speed of sound and the velocities of the jets. Participants suggest drawing a diagram to visualize the problem and clarify the application of the Doppler Effect.

PREREQUISITES
  • Understanding of the Doppler Effect in sound waves
  • Familiarity with supersonic flight dynamics
  • Knowledge of basic physics equations related to wave frequency
  • Ability to create and interpret diagrams in physics problems
NEXT STEPS
  • Study the principles of the Doppler Effect in detail
  • Learn how to apply kinematic equations to solve for speed and distance
  • Explore supersonic flight characteristics and their implications
  • Practice drawing and analyzing diagrams for physics problems
USEFUL FOR

Students studying physics, particularly those focusing on wave phenomena and kinematics, as well as educators seeking to enhance their teaching methods in these areas.

Edel Crine
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Homework Statement
At an air show, I see two fighter jets fly overhead one after
another at supersonic speeds. However, I hear just one sonic
boom 1.086 seconds after the second one flies past, which
in turn happened 1.262 seconds after the first jet passed by.
I hear an announcement from the air show organizers that
the first jet is flying at 4/3 the speed of the second. Find their
speeds and the altitude at which they are flying.
Relevant Equations
f0=(c±v0)/(c-+vs)
Being honest, I couldn't do any works for this problem... (even couldn't start...)
Does anyone can help me for solving this...?
Thank you!
 
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Edel Crine said:
Homework Statement:: At an air show, I see two fighter jets fly overhead one after
another at supersonic speeds. However, I hear just one sonic
boom 1.086 seconds after the second one flies past, which
in turn happened 1.262 seconds after the first jet passed by.
I hear an announcement from the air show organizers that
the first jet is flying at 4/3 the speed of the second. Find their
speeds and the altitude at which they are flying.
Relevant Equations:: f0=(c±v0)/(c-+vs)

Being honest, I couldn't do any works for this problem... (even couldn't start...)
Does anyone can help me for solving this...?
Thank you!
Draw a diagram of where everything is when you hear the boom. Assign variables to the distances and post the diagram with whatever equations you can write.

What makes you think Doppler is relevant?
 

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