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**1. Homework Statement**

A supersonic jet traveling at Mach 3.00 at an altitude of 20,000 meters is directly over a person at a time t=0 as show in figure (see below).

**(a) At what time will the person encounter the the shock wave?**(b) Where will the plane be when the "boom" is finally heard? (Assume the speed of sound in air is 335 m/s).

This is a two part problem (a & b) and I need help with part "a" only as I've already solved part "b" on my own so far.

**2. Homework Equations**

**3. The Attempt at a Solution**

Well, I solved part "b" by using sin = V/Vs with V = 1 Mach and Vs = 3 Mach to get the angle ( 19.5 degrees )

Then I used Tan = y/x solving for "x" with y=20,000 meters and Tan 19.5 degrees to get 5.66x10^4 meters.

Now for part "a" I don't have a clue how to get the time since wouldn't they just cancel out anyways by looking at the equation? I've obviously ruled out kinematics equations so...yeah.