(Solution) - When the patrol car in Problem 122 traveling at 190 -(2025 Original AI-Free Solution)

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A speeder races past at 125 km/h. A patrol car pursues from rest with a constant acceleration of 8 km/h·s until it reaches its maximum speed of 190 km/h, which it maintains until it catches up with the speeder.
(a) How long until the patrol car catches the speeder if it starts moving just as the speeder passes?
(b) How far does each car travel?
(c) Sketch x(t) for each car.