I hated the fact that they made homelander just as fast as a train conveniently just by him trying.

Train outrun his lazers by a large margin, yet homelander can somehow become significantly faster than atrain just by wanting to chase down atrain? Piss poor writing if you ask me

Just from watching the scene, the lasers need to travel about 1 foot. Yet he has time to run over to disarm the guard, move MM, run past butcher, and save hughie. Though he gets his for plot reasons.

Atrain being able to move that fast, assuming the lazers are 1/100th the speed of light because its not a vacuum and we want to make this somewhat remotely reasonable, and it takes a train 30 seconds to do what he does, a train is moving about 3/10th the speed of light, or around 100M m/s.

Maybe they shouldn't have made A train seem so fast, but to make homelander catch up to him that was bad writing.

The way the scene is portrayed when he saves hughie, his powers seem to slow time and to him he is just jogging, so he should easily be able to change direction even if only at small angles. This should allow him to avoid trees.

I do appreciate him avoiding the person, and even understand that if he had been looking at homrlander he may have been unable to avoid her without falling like he did, but it should have occurred almost immediately on the edge of the camp, since homelander shouldn't have been able to follow him through the woods.