(Solution) - When a car traveling at speed v1 rounds a corner -(2025 Original AI-Free Solution)

Paper Details

When a car traveling at speed v1 rounds a corner, the driver sees another car traveling at a slower speed v2 a distance d ahead.
(a) If the maximum acceleration the driver?s brakes can provide is a, show that the distance d must be greater than (v1 - v2)2/(2a) if a collision is to be avoided.
(b) Evaluate this distance for v1 = 90 km/h, v2 = 45 km/h, and a = 6 m/s2.
(c) Estimate or measure your reaction time and calculate the effect it would have on the distance found in part (b).