FYKOS Year 26 Series 1 Problem 4 — crash tests · FYKOS 26 #26.1.4

Physics · mechanics

Problem

Two cars are driving towards each other with speed

v_{0}

. At what distance from each other should they hit the brakes in order to avoid a crash? Consider the case when both cars are on a flat road as well as the case when they are on a road inclined at an angle

α

. Both drivers apply the brakes at the same time. The braking force is equal to

f\cdot N

where

N

is the component of the car's weight normal to the road.

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