There are a few things that "tick" while an engine is running, one being the fuel injectors, but they shouldn't be loud enough to really hear any difference between idling and accelerating. The other being valve adjustment, or in the valve train itself. That could be one of several possibilities like timing, timing advancement or lack of, low oil pressure which operates the lifters for the valves, (if hydraulic), worn camshaft, worn tappets, (if O.H.C.), low oil level. Kinda hard to pinpoint it without actually hearing it in person, but i hope that may lead you in the right direction.
The fuel injectors make the ticking noise you hear at startup, especially when the engine is cold (colder temperatures).
the ticking noise is a small exhaust leak close to the exhaust headers or exhaust pipe near the engine.
lifters
The cool water hitting your piping hot exhaust makes the metal contract (Shrink) and it makes a ticking noise.
if ticking noise is in engine, u most likely have a worn hydraulic lifter. check oil for correct volume and viscocity
yes, my 2000 grand prix gtp is losing power and makes ticking noise.
Most likely the ticking you are hearing is that from your solonoid. This is generally related with insufficient power from the battery.
from which part of your engine is the ticking noise coming from. if is the TOP it would most likely be lifter noise.try using a thicker oil.
Try to locate the ticking noise. Is it the engine? Is it ticking when you are driving? When you are sitting still? It could be as simple as a stone stuck in yoru tire, everytime it hits the road it ticks. it could be a lifter in the engine. Try to be more specific as to where and when the ticking happens.
your battery is dead
Oil slow getting to the head
The ticking noise could be worn out rocker arms under valve covers. Switch to heavier weight oil if ticking noise subsides that could be your problem. This is usually a sign of a high mileage engine. Worst case scenario would be weak oil pump not getting oil to top of heads.