The "right of way" only applies when the vehicles will meet, or arrive in an unsafe proximity to each other at the merge point WHEN EACH VEHICLE MAINTAINS THE LEGAL SPEED LIMIT. In that case, the vehicle (car) in the traffic lane has the right of way over the merging vehicle (cart).
If you are driving a car, see a merge point with a cart about to merge, say 300 feet ahead, YOU HAVE NO RIGHT TO ACCELERATE TO 50 TO "beat them there". If an accident results, the auto driver would be 100% at fault. It's no different than an entrance ramp to an interstate. The car on the main road has the right of way, but not if they accelerate to 120 to block out the merging vehicle
If what was mentioned above, that the car ALWAYS has the right of way, was true, you could never merge from the cart lane, because the car 1/2 mile back would have "the right of way"
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