Not to be pedantic here, but it is mostly
velocity, not altitude, that determines if something goes into orbit or not, though of course if you don't want to be dragged down by resistance against the atmosphere you have to be high enough to be out of the atmosphere. But if you launch something straight up, even if it is outside of the atmosphere it won't get "stuck" there. It has to be going fast enough so that as it "falls" it follows the curvature of the Earth.
http://en.wikipedia.org/wiki/V-2
Operational
range 320 km (200 mi) Flight altitude 88 km (55 mi) maximum altitude on long range trajectory, 206 km (128 mi) maximum altitude if launched vertically. Speed maximum: 1,600 m/s (5,200 ft/s)5,760 km/h (3,580 mph) at impact:
800 m/s (2,600 ft/s)2,880 km/h (1,790 mph)The reason why the V2 was impossible to shoot down was because it was traveling up to 4.5 times faster than the speed of sound. The Allies had nothing that could intercept it.
I tend to say all's fair in love and war. We nuked two cities, after all.
Steve