Randall D. Knight — Kinematics in One Dimension: Problem Problem_53

a. Find an expression for the minimum stopping distance \( d_{\text{stop}} \) of a car traveling at speed \( v_0 \) if the driver’s reaction time is \( T_{\text{react}} \) and the magnitude of the acceleration during maximum braking is a constant \( a_{\text{brake}} \). b. A car traveling at \( 30 \text{ m/s} \) can stop in a distance of \( 60 \text{ m} \), including the distance traveled during the driver’s reaction time of \( 0.50 \text{ s} \). What is the minimum stopping distance for the same car traveling at \( 40 \text{ m/s} \)?