You are muddling several different things. Again.
1) You can't "accelerate momentum". That is a meaningless idea. You can accelerate a body and that will change (increase or decrease) its momentum.
2) The slingshot as used by David on Goliath uses the idea of increasing angular momentum by whirling the thing round the head and then, by instantaneously removing the centripetal force that constrains the object to move in a circle, it flies off at a tangent with considerable linear momentum. However the increase in its momentum is achieved by making it turn faster and faster beforehand, which is a concept totally unrelated to trucks accelerating downhill and decelerating uphill. That is to do with converting gravitational potential energy to kinetic and then back again. Altogether different.
3) Neither of the above explains the use of a 3rd astronomical body to change the momentum of a satellite. This uses the motion of the 3rd body, combined with its gravitational pull, to impart extra kinetic energy:
https://en.wikipedia.org/wiki/Gravity_assist