The kinetic energy is 1/2mv2, where m equals mass of the projectile and v is the muzzle velocity.
At the apogee of its arc all kinetic energy is converted into potential energy. Potential energy is mgh, where m is mass, g is the acceleration of gravity (32 ft per second squared) and h is the elevation.
So: mgh = 1/2mv2 h = (1/2v2)/g h = (1/2 x 28002 ) / 32 h = 122,500 ft h = 23.2 miles
Of course, the real height will be MUCH less. Projectiles traveling at over two times the speed of sound lose velocity very quickly. 1000 yard highpower competitors have to use fairly heavy bullets to keep them from going subsonic before they get to the target. I don't know how to do the calculations, but I would be very surprised if a typical rifle projectile would go over a mile vertically. Someone with access to a ballistics program can do the calculations, based on the ballistic coefficient of the particular bullet.
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Today's Featured Article - An Old-Time Tractor Demonstration - by Kim Pratt. Sam was born in rural Kansas in 1926. His dad was a hard-working farmer and the children worked hard everyday to help ends meet. In the rural area he grew up in, the highlight of the week was Saturday when many people took a break from their work to go to town. It was on one such Saturday in the early 1940's when Sam was 16 years old that he ended up in Dennison, Kansas to watch a demonstration of a new tractor being put on by a local dealer. It was an Allis-Chalmers tractor dealership,
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