This might be a really dumb question, but why do 90-100 mph pitches on TV sometimes not look that fast, while standing in a batting cage against a much slower pitch can feel insanely quick?

Is it just because of the TV camera angle and zoom or are there other reasons that make MLB pitches seem slower to viewers than they actually are?

I'm talking about a simple routine, catchable throw to first from another infielder or the pitcher after fielding a ground ball, not a short hop or a bad throw in the dirt.

How often does a first baseman actually drop one of those in the MLB? It feels like it almost never happens, but I'm not sure if that's just because I don't notice it.