# You hear the sonic boom of a high-speed jet plane exactly 4.00 s after it passes directly overhead in level flight. At the time you hear the boom, you see the plane at an angle of 25.0 o above the horizon. Assume that the speed of sound at the altitude of the plane is 325 m/s. How fast is the plane traveling? What is the altitude of the plane?

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You hear the sonic boom of a high-speed jet plane exactly 4.00 s after it passes directly overhead in level flight. At the time you hear the boom, you see the plane at an angle of 25.0 o above the horizon. Assume that the speed of sound at the altitude of the plane is 325 m/s.
How fast is the plane traveling? What is the altitude of the plane?

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Step 1

Given:  time, t = 4 s

Angle = 25o

Speed of sound, v = 325 m/s

Find: How fast is the plane travelling?

what is the altitude of the plane?

Step 2

Speed of the plane can be calculated by Match cone angle relation:

vsound = speed of sound

vairplane = speed of airplane

Step 3

Altitude of the plane is given by:

where, h = height of the airplane

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