Engineering, 23.03.2020 22:28, ThePotato381

A car is stopped at an entrance ramp to a freeway; its driver is preparing to merge. At a certain moment while stopped, this driver observes a platoon of vehicles a distance x0 upstream and initiates the merge maneuver. The platoon approaches the entrance ramp at a constant speed v. The stopped car can accelerate from speed 0 to v at uniform acceleration rate a .

Find the latest time at which the stopped car can safely start the merge maneuver; i. e., derive an expression for the "latest safe start time" in terms of the variables x0, v and a. Assume this latest time enables the platoon to maintain its constant speed and "just touch" the merging car's trajectory. Ignore the physical dimensions of the car.

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A car is stopped at an entrance ramp to a freeway; its driver is preparing to merge. At a certain mo...