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You make it sound as if that's something straightforward.If you have a save autonomous driving software, it should see pedestrians on the sidewalk, specially kids and just go slower, leaving safe space to brake.
Let's look at some educational material.
(somewhat disturbing content warning)
A. Here is the most common situation of a pedestrian being run over.
You are driving along, there are no signs of anything, no motion detectable anywhere, then suddenly a kid runs across the road right in front of you.
Nothing to detect, no time to brake.
Only general solution is to move at the speed of your knowledge cone, which would be slightly over walking speed on such streets.
All in all, you can't solve the pedestrian issue just by motion detection or people detection.
In most cases you would need the whole scene to be parsed and potential points of sudden appearance identified, which is quite a bit harder a task.