Question: When a car traveling at speed v 1 rounds a corner, the driver sees another car traveling at a slower speed v 2 a distance

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).

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