Posted by **Mike** on Tuesday, May 11, 2010 at 2:20am.

A supersonic plane flies directly over you at 1.8 times the sound speed. You hear its sonic boom 20s later.

What is the plane's altitude, assuming a constant 340 sound speed?

- Physics 203 -
**bobpursley**, Tuesday, May 11, 2010 at 6:32am
height= velocity sound*time

- Physics 203 -
**drwls**, Tuesday, May 11, 2010 at 8:49am
The angle that the bow shock wave makes with the velocity vector, and with the ground, is

A = sin^-1 (1/M) = 33.8 degrees.

The relationship between altitude h and sonic boom delay time t is:

h/(Vt) = tan A = 0.668

where V = airplane speed = M*Vsound = 612 m/s

Thus

h = 0.668 v t = 818 m

BobPursley's formula would result in

680 m.

The shock wave cone behind the airplane moves faster than the speed of sound.

## Answer this Question

## Related Questions

- physics - A plane flies at 1.25 times the speed. It's sonic boom reaches aman on...
- Physics - A supersonic jet travels at 3.0 Mach (i.e. at three times the speed of...
- physics - A sonic boom is produced by an aircraft when it does which of the ...
- physics - A supersonic jet flying at 137 m/s is accelerated uniformly at the ...
- Physics - Watching a jet plane fly high over my head, I noticed that the sound ...
- physics - An airplane traveling at v = 152 m/s emits a sound of frequency 1850 ...
- physics - An airplane traveling at v = 163 m/s emits a sound of frequency 1730 ...
- Science - A supersonic jet flying at 145 m/s is accelerated uniformly at the ...
- algebra1 - A)a plane flies at the height of 1800 feet directly over 150-foot-...
- math - At an airport, a flight controller was in a tower 40m above the ground. ...