- 66

- 0

**1. Homework Statement**

You look directly overhead and see a plane exactly 1.4·km above the ground, flying faster than the speed of sound. By the time you hear the sonic boom, the plane has traveled a horizontal distance of 2.4·km.

(a) Find the angle of the shock wave cone.

(b) Find the speed of the plane (Mach number).

**2. Homework Equations**

Sin (shock wave cone angle)=(c/v)

PLane Speed= v/c

v=velocity of source

c=speed of sound

**3. The Attempt at a Solution**

The plane is 1400 meters high. When the shockwave is heard, the plane has travelled 2400 meters horizontally. Sound travels at 343 m/s. 1400/343 gives me 4.08 seconds. 2400/4.08 gives the plane a speed of 588 m/s.

Sin-1(343/588)=35.7 degrees. Of course, I'm here because these are not the correct answers and I don't know why. Any clues as to what I did wrong would be greatly appreciated.