Posted by **shan** on Friday, March 7, 2008 at 7:35am.

A jet starts of at a point A and is flying horizontally. And person is standing at a point B on the ground which is to the right of point A. When the jet is directly over the person, the person hears sound coming from point A. The average air temp is 20 deg C. If the speed of the plane at A is 164m/s, what is its speed at B, assuming constant acceleration? The angle between point A and the line of sight of the person on the ground is 36 deg.

- physics -
**drwls**, Friday, March 7, 2008 at 7:57am
Let X be the horizontal distance from A to the point above B. Let Vs be the sound speed and Vb be the plane's velocity at point B.

The time required for the plane to fly the distance X is 2X/(164 + Vb), assuming constant acceleration, since (Vb+164)/2 is the average velocity. That equals the time required for the sound to go from A to B, which is X/(Vs*cos36)

Therefore

2/(164+Vb) = 1/Vs*cos36

0.809 Vs = 82 + Vb/2

Vb = 1.608 Vs -168

The sound speed is Vs = 343 m/s, so

Vb = 383 m/s

That is a lot of accleration, going from mach 0.5 to about 1.1

- physics -
**Harry**, Wednesday, November 17, 2010 at 12:39pm
Angle's actually 56 degrees...

## Answer this Question

## Related Questions

- physics - 1. A jet is flying with an air speed of 500 m/s. A parcel is dropped ...
- physics - 1. A jet is flying with an air speed of 500 m/s. A parcel is dropped ...
- physics - A fighter-jet is in level flight at an altitude of 400m and with a ...
- college physics - A fighter-jet is in level flight at an altitude of 400m and ...
- Physics - A jet pilot is in a vertical loop. If the jet is moving at a speed of ...
- physics - A jet pilot takes his aircraft in a vertical loop.f the jet is moving ...
- Physics - If the jet is moving at a speed of 1800 km/h at the lowest point of ...
- Physics - If the jet is moving at a speed of 1800 at the lowest point of the ...
- trig - jet stream which is flowing at a rate of 80 miles per hour. It travels ...
- trig - A plane climbs into the jet stream which is flowing at a rate of 80 miles...