Most good sprinters can parallel squat at least 2x their body weight. Its rumored that Ben Johnson was doing triples with 550 lbs leading up to his 1988 gold (now stripped) medal 100m run. A certain level of baseline strength is needed for maximal power development, and from the research I've seen it appears to be for lower body the ability to squat 2x body weight.
Power is a function of rate of contraction (velocity) and force of contraction (tension)
Simplified, power = speed x strength
So, a good strength coach will have sprinters performing maximal effort days and focusing on building strength just as much, if not more in younger athletes, than power.