Halliday, Resnick & Walker — Force and Motion–II: Problem 97

Braking distance in snow. You are driving at $60\text{ mi/h}$ ($= 26.8\text{ m/s}$). Assume that you then brake at a constant acceleration with the maximum static friction on the tires from the roadway (no sliding). What is your minimum braking distance if the coefficient of static friction $\mu_s$ is (a) $0.70$ for dry asphalt, (b) $0.30$ for a snow layer of depth $2.5\text{ mm}$, and (c) $0.15$ for a snow layer of a depth $3.20\text{ cm}$? (The lesson here is simple: Slow down when driving in snow.)