5600 mph x 100 mile range = approximately a one minute flight time.
Hard to hit a moving target with a one minute lead time.
I guess you could fire a stream of semi-guideable projectiles 6 seconds apart: all the shells would need is the ability to get some kind of optic on the target, track the shell in front and to push out/pull in small control surfaces.
Then you could program shots #2, #3, etc to pick up deflection data from the previous shots. That would work out as a 6 second lead time with a ‘learning’ bullet stream fired from 200 miles away. Ouch!
Not exactly; the path of the shell would be a ballistic trajectory, affected by gravity, drag, launch velocity, and launch angle, probably somewhere between 1.5 and 1.9 times the straight line distance between the launcher and the target.
Seems closer to a two-minute flight time...