Minimum Following Distance to Avoid Collision (Kinematics)

Engineering Mechanics Dynamics · Engineering Mechanics – Dynamics — University

Question

Car B is traveling a distance $d$ ahead of car A. Both cars are traveling at 60 ft/s when the driver of car B suddenly applies the brakes, causing car B to decelerate at 12 ft/s². It takes the driver of car A 0.75 s to react (normal driver reaction time). When car A's driver applies the brakes, car A decelerates at 15 ft/s². Determine the minimum distance $d$ between the cars so as to avoid a collision.

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