Minimum Time Travel with Acceleration Constraint · CAP 2022 #20

Physics · mechanics

Problem

A car has maximum acceleration of a and maximum deceleration of -a. The shortest possible time for the car to begin at rest, then arrive at rest at a point a distance Δx away is a) Δx2a\sqrt{\frac{\Delta x}{2a}} b) 4Δxa\sqrt{\frac{4\Delta x}{a}} c) 2Δxa\sqrt{\frac{2\Delta x}{a}} d) 3Δx2a\sqrt{\frac{3\Delta x}{2a}} e) Δxa\sqrt{\frac{\Delta x}{a}}

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