Yes, and no.
The bug is flying at a groundspeed of 60, since the car and everything in it is travelling at 60.
However the bugs’ airspeed is much lower, because (as long as your windows are closed) the air in the car is also moving at 60, the bug is flying at a regular speed through the air.
Basically the bug doesn’t have to fly at 60 to keep up, because the air it’s flying in is already going 60.
Exactly the same way you’re sitting still and not moving at all, but are going 60 with the car
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