What is the speed of the jet at point B based on the given information?

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The discussion focuses on calculating the speed of a jet at point B based on its speed at point A, which is 164 m/s, and the speed of sound in air at 20 °C. The speed of sound at this temperature is approximately 343 m/s. To find the jet's speed at point B, one must apply the principles of kinematics and the relationship between the distances traveled by the sound and the jet, utilizing the time variable and the geometry of a right triangle.

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  • Understanding of kinematics, specifically constant acceleration equations.
  • Knowledge of the speed of sound in air, particularly at varying temperatures.
  • Familiarity with right triangle properties and trigonometric relationships.
  • Basic algebra for manipulating equations and solving for variables.
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  • Study the equations of motion for constant acceleration in physics.
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  • Explore the application of trigonometry in solving physics problems involving right triangles.
  • Review examples of sound travel time calculations in relation to moving objects.
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Please Help Have exam tomorrow! waves

A jet is flying horizontally, as the drawing shows. When the plane is directly overhead at B, a person on the ground hears the sound coming from A in the drawing. The average temperature of the air is 20 °C. If the speed of the plane at A is 164 m/s, what is its speed at B, assuming that it has a constant acceleration?

Please help!

I'd be so grateful!:)

http://univirtual.info/elementaryphysics/pc/cutnell3158c16/cutnell3158c16_17.htm

(watch this page, question number 101 for the drawing)
 
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You need the speed of sound to do this. I assume you know this from the temperature.
Write down the formula for the distance the sound travels from point A to the observer in terms of the speed of sound and the time taken, t.
Write down the formula for the distance the plane travels from A to B in terms of its initial and final velocity, and time t.
You have a right angle triangle and a formula for two of the sides and you know one of the angles.
 

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