Roundabout management. The figure below shows an overhead view of a single-lane roundabout where access is computer controlled. Car 1 is allowed to enter at access point A at time t = 0. It accelerates at a = 2.4 m/s² to the speed limit of v = 10.6 m/s as it moves around the roundabout and past access point B where car 2 waits to enter. The radius R of the circular road is 48 m, the angle 8 subtended between A and B is 120°, and both cars have length L = 4.2 m. Car 2 is allowed to enter when the rear of car 1 is 1.9 car lengths past point B. At what time t is car 2 released?

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Chapter1: Units, Trigonometry. And Vectors
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Roundabout management. The figure below shows an overhead view of a single-lane roundabout where access is computer controlled.
Car 1 is allowed to enter at access point A at time t = 0. It accelerates at a = 2.4 m/s² to the speed limit of v = 10.6 m/s as it moves
around the roundabout and past access point B where car 2 waits to enter. The radius R of the circular road is 48 m, the angle 8
subtended between A and B is 120°, and both cars have length L = 4.2 m. Car 2 is allowed to enter when the rear of car 1 is 1.9 car
lengths past point B. At what time t is car 2 released?
Two lanes
Car 1
R
R
One lane
B
Car 2
Transcribed Image Text:Roundabout management. The figure below shows an overhead view of a single-lane roundabout where access is computer controlled. Car 1 is allowed to enter at access point A at time t = 0. It accelerates at a = 2.4 m/s² to the speed limit of v = 10.6 m/s as it moves around the roundabout and past access point B where car 2 waits to enter. The radius R of the circular road is 48 m, the angle 8 subtended between A and B is 120°, and both cars have length L = 4.2 m. Car 2 is allowed to enter when the rear of car 1 is 1.9 car lengths past point B. At what time t is car 2 released? Two lanes Car 1 R R One lane B Car 2
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