Solution Found!
Answer: On a clear day you see a jet plane flying
Chapter 16, Problem 82P(choose chapter or problem)
On a clear day you see a jet plane flying overhead. From the apparent size of the plane, you determine that it is flying at a constant altitude . You hear the sonic boom at time
after the plane passes directly overhead. Show that if the speed of sound
is the same at all altitudes, the speed of the plane is
\(v_{S}=\frac{h v}{\sqrt{h^{2}-v^{2} T^{2}}}\)
(Hint: Trigonometric identities will be useful.)
Equation Transcription:
Text Transcription:
vs=hv/sqrt h^2-v^2T^2
Questions & Answers
QUESTION:
On a clear day you see a jet plane flying overhead. From the apparent size of the plane, you determine that it is flying at a constant altitude . You hear the sonic boom at time
after the plane passes directly overhead. Show that if the speed of sound
is the same at all altitudes, the speed of the plane is
\(v_{S}=\frac{h v}{\sqrt{h^{2}-v^{2} T^{2}}}\)
(Hint: Trigonometric identities will be useful.)
Equation Transcription:
Text Transcription:
vs=hv/sqrt h^2-v^2T^2
ANSWER:
Solution 82P
The situation is shown in the following figure
We know that the angle of the cone of shock wave is given by
Here is the speed of sound and
is the speed of the jet plane. Now if
is the speed of the jet plane and then distance traveled in time
&