Assuming no drag, and ignoring curvature of the earth, which isn't quite fair for the 2.5 kps version (curvature of the earth should increase range by 10-15%), maximum range is approximately 100 km * MV^2, and maximum altitude will be 1/4 of maximum range, so that 2,500 m/s projectile reaches an altitude of more than 100 kilometers, and might be usable to shoot down low flying satellites, though you'd have to be amazingly lucky without a guided projectile.
Actually, stabilization might be a problem for the faster projectile; altitude is high enough that fins might not keep it aligned correctly, and if it descends into atmosphere at the wrong angle accuracy will be shot to heck.