# Physics 203

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?

1. 👍
2. 👎
3. 👁
1. height= velocity sound*time

1. 👍
2. 👎
👤
bobpursley
2. 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.

1. 👍
2. 👎

## Similar Questions

1. ### Physics

You are standing at the midpoint between two speakers, a distance D away from each. The speakers are playing the exact same sound of frequency 170 Hz in phase with each other. Describe what happens when you walk 1.5 m directly

An elephant can hear sound with a frequency of 15.0 Hz. What is the wavelength of this wave? The speed of sound in air is 343 m/s.

3. ### calculus

A plane flies horizontally with a speed Of 600km/h at an altitude of 10km and pasess directly over th town of quinton .find the rate at which the distance from the plane to quinton is increasing when its 20km away from quinton ?

4. ### Math

a plane flies 1.5 hours at 110 mph on a bearing of 10°. it then turns and flies 8.5 hours at the same speed on a bearing of 100°. How far is the plane from its starting point?

1. ### calculus

I am stuck on these problems. I have tried it multiple times and gotten it wrong. 1. A plane flies horizontally at an altitude of 3 km and passes directly over a tracking telescope on the ground. When the angle of elevation is

2. ### Calculus

An airplane flies at an altitude of y = 5 miles toward a point directly over an observer (see figure). The speed of the plane is 500 miles per hour. Find the rates at which the angle of elevation 𝜃 is changing when the angle is

3. ### trig

a plane takes off at 10.00am from an airfield, and flies at 120km/h on a bearing of N35W. A second plane takes off at 10.05am from the same airfield, and flies on a bearing of S80E at a speed of 90km/h. How far apart are the

4. ### Calculus

An airplane flies at an altitude of 5 miles toward a point directly over an observer. The speed of the plane is 600 miles per hour. Find the rate at which the angle of elevation tetra is changing when the angle is 30 degrees

1. ### physics help

Imagine you are in an open field where two loudspeakers are set up and connected to the same amplifier so that they emit sound waves in phase at 688 Hz. Take the speed of sound in air to be 344 m/s. If you are 3.00m from speaker A

2. ### math, trigonometry

a plane starts from a point P and flies 240km on a bearing of 120degrees to Q. At Q the plane makes a 90degree turn and flies back 100km on a bearing of 210degrees to R. At R the plane again changes direction and flies back to P.

3. ### Physics

As measured from centre ice, a single wildly cheering hockey fan can produce a sound intensity level of 60dB. What sound intensity level would be produced by 20 000 cheering fans? --------- If sound waves travel through the ground