Rocket Assisted Projectile: is an artillery or cannon round incorporating a rocket motor for independent propulsion. This grants the projectile both greater speed and range than an ordinary shell, which is propelled only by the ballistic force of the gun's exploding charge. Some forms of Rocket Assisted Projectiles can be outfitted with a laser-guide for greater accuracy.

Extended Range Guided Munition was a precision guided rocket-assisted 5-inch (127 mm) artillery shell development by Raytheon for the U.S. Navy.

From what I can find these have been produced for 6.1" / 5" guns. While from other bits and pieces on discussion boards it seems the Des Moisne class had an RAP produced for its 8" and possibly the Iowas had them for their 16".