You hear the sonic boom of a high-speed jet plane exactly 3.10 s after it passes directly overhead in level flight. At the time you hear the boom, you see the plane at an angle of 22.0 o above the horizon. Assume that the speed of sound at the altitude of the plane is 325 m/s.
How fast is the plane traveling?

asked by Trace
  1. d = 325m/s * 3.10s = 1008 m. = Hor. distance traveled by sound.

    d = 1008/Cos22 = 1087 m.
    V = 1087m/3.1s = 350.5 m/s. = Speed of the plane.

    posted by Henry

Respond to this Question

First Name

Your Answer

Similar Questions

  1. physics

    A plane flies at 1.25 times the speed. It's sonic boom reaches aman on the ground 1.00 min after the plan passes directly overhead.What is the altitude of the plane? Assume the speed of sound to be 330m/s.
  2. 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?
  3. Physics

    A supersonic jet travels at 3.0 Mach (i.e. at three times the speed of sound). It cruises at 20,000 m above the ground. we choose t=0 when the plane passes directly overhead of an observer. At what time t will the observer hear
  4. Language Arts

    Boom, Boom- the music goes Boom, Boom- Feel the beat from head to toes Boom, Boom- my heart is thumping Boom, Boom- It's quite frightening Boom, Boom- Feel the world's weight on me Boom, Boom- Millions of eyes are staring at me
  5. math

    At an airport, a flight controller was in a tower 40m above the ground. When she first observed a plane it was at an angle of elevation of 12 (degrees) from her line of sight and flying at a constant altitude (height) The plane
  6. Physics

    Watching a jet plane fly high over my head, I noticed that the sound seemed to be coming from directly above me when the plane was at an angle of 30 degrees from vertical. How fast was the plane flying? Assume the speed of sound
  7. physics

    an enemy plane is flying horizontally at an altitude of 2.0Km,with a speed of 3.0m/ army man with a gun on the ground sights the enemy plane and fires a shell with a muzzle speed of 600m/s when d plane Is directly
  8. Resolution of vectors

    A 1000kg load is suspended from the end of a horizontal boom. The boom is supported by a cable that makes an angle of 35deg with the boom. a) what is the tension in the cable? b) what is the horizontal force on the boom?
  9. Math

    You observe a plane approaching overhead at a speed of 600 mph. The angle of elevation of the plane is 14 degrees at one time and 54 degrees two min later. A) What is the altitude of the plane? B) how far from the plane are you
  10. Cranes

    08/09/2005 Physics A crane is lifting a 200 pound object. The crane boom is 50 ft long. The boom forms an 85 degree angle with the horizontal. What is the torque applied to the crane boom?

More Similar Questions