In this worksheet, we will practice comparing the speed of an object that is moving faster than the speed of sound in a medium to the speed of the shock wave it produces.

**Q1: **

A jet flying at an altitude of m has a speed of Mach 2.00. Determine how long after the jet is directly vertically above a stationary observer on the ground the observer will hear a sonic boom from the jet. Use a value of 340 m/s for the speed of sound.

**Q2: **

A plane is flying at Mach 1.2, and an observer on the ground hears the sonic boom 15 seconds after the plane is directly overhead.What is the altitude of the plane? Use a Value of 340 m/s for the speed of sound.

**Q3: **

An airplane is flying at Mach 3.0 at an altitude of 8.0 km. Determine how far away from a stationary observer the plane will be when the observer hears the sonic boom generated by the plane. Use a value of 306 m/s for the speed of sound.

**Q4: **

An airplane moves at Mach 1.75 through air in which the speed of sound is 312 m/s producing a shock wave.

What is the speed of the airplane?

At what angle from the direction of the motion of the airplane does the shock wave propagate?

**Q5: **

A bullet is fired and moves at a speed of km/h. Find the angle of the shock wave from the direction of the bullet’s motion at which the shock wave produced propagates. Use a value of 340 m/s for the speed of sound.

**Q6: **

The leading edge of a shock wave from the front tip of a fighter jet makes an angle of with the direction of the jet’s motion. The jet is flying at a speed of km/h. What is the speed of sound in the region of the jet?