Because to a missile with radar/infra-red detection and computer navigation and tracking, it isn’t actually moving that fast.
Modern weapon systems can track targets via radar in times that are, really, minute fractions of a second and work out where the course is a very long way away, calculate an intercept course and keep doing so.
It’s like saying how can a human identify where a tortoise is walking and move to intercept it? Because to a human, the tortoise is moving pretty slowly and we’ve got lots of time to look at its path and work out where to walk to catch up with it.
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