It has to do with distance. The surface to air missiles are filmed significantly closer to their launch than The rocket launch. We can visualize how distance plays into this by taking a stick and holding it at one end and laying it out flat. Now let’s angle the stick upwards. The middle of the stick is closer to you and as such is lower in elevation than the tip of the stick you aren’t holding. So even though the further part of the stick moved more the change in the angle you are viewing it at is the same as the middle of the stick. When we take this example to larger scales it gives off the illusion of more distant objects moving slower than they actually are.
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