How Long Before Hearing a Sonic Boom from a Supersonic Plane at Mach 3?

AI Thread Summary
To determine how long it takes for a person on the ground to hear a sonic boom from a supersonic plane flying at Mach 3 and 20,000 m altitude, the key is calculating the time it takes for sound to travel that distance. The sonic boom is a noise produced by the plane, which travels 20,000 m to reach the observer. The speed of sound must be known, and it is assumed to remain constant during the descent. The relevant equation relates speed, time, and distance, prompting a discussion on which specific equation to use for this calculation. Understanding these concepts is essential for solving the problem accurately.
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Homework Statement



A supersonic plane flies at Mach 3 at an altitude of 20,000 m. A person on the ground sees the plane directly overhead. How much time passes the before she hears the sonic boom?

Homework Equations



f=fo(v+-vo/v-+vs)

The Attempt at a Solution



I don't really know how to start up with this one, I was hoping for some help here.
 
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ScienceGeek24 said:

Homework Statement



A supersonic plane flies at Mach 3 at an altitude of 20,000 m. A person on the ground sees the plane directly overhead. How much time passes the before she hears the sonic boom?

Homework Equations



f=fo(v+-vo/v-+vs)

The Attempt at a Solution



I don't really know how to start up with this one, I was hoping for some help here.

The sonic boom is just a noise produced by the plane, which has to travel 20,000m to reach you.
The answer would be the same if it was a helicopter hovering at 20000m then firing a really loud gun - or with a really big sound system playing AC-DC.
 
So what equation do you suggest I can use to start up the problem?
 
ScienceGeek24 said:
So what equation do you suggest I can use to start up the problem?

You want to calculate the time taken for sound to travel 20000m. What equation do you think you need - it connects speed, time and distance?

You will need to know the speed of sound - and will probably have to make the assumption that it remains constant all the way from up there to down where you are!
 

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