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Rectilinear Kinematics: Stopping Distance with Reaction Time

Physics · Physics — University

Course: Physics Book: Physics — University

Question

A normal driver has a reaction time of $t_r = 0.75\text{ s}$ before braking, while an impaired driver has a reaction time of $t_r = 3\text{ s}$. Both are traveling at $30\text{ mph}$ ($v_0 = 44\text{ ft/s}$) on a straight road. Both cars can decelerate at $a = 2\text{ ft/s}^2$. Determine the shortest total stopping distance $d$ for each driver from the moment they see a hazard.

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