FYKOS Year 29 Series 3 Problem 4 — break, break, break! · FYKOS 29 #29.3.4

Physics · mechanics

Problem

After we press the break pedal, the car does not start to break immediately. During the time

t_{r}

the breaking force grows linearly up to the maximum force

F_{m}

. Coefficient of static friction between the tire and a road is

f

. What is the maximum speed of car so that the car does not skid even during emergency breaking?