Earlier quoted context omitted.
Physics. Attacker gets arbitrary mass (reactant, etc) and time to accelerate. Defender needs same mass/time to decelerate... after discovering the attack. Note that you could literally prep an attack for millennia which would be discovered a matter of hours prior to ending a civilization. Physics makes for sucky narratives. Good thing it also makes for a vast, dead, boring universe.
I don't think you would try to slow down approaching meteorites to zero speed, only deflect them a little so that they miss the planet. The further away you catch it, the less energy it takes (I assume, didn't do the maths).
I suppose the survival of your species renders moot most energy concerns though.