The problem that follow involve straight-line motion. The time t is in seconds unless otherwise stated.
Problem
Suppose that you must determine the duration of the yellow light at a highway intersection. Assume that cars will be approaching the intersection traveling as fast as 65 mi/h, that drivers' reaction times are as long as 0.5 s. and that cars can safely achieve a deceleration of at least 0.4 g.
(a) How long must the light remain yellow to allow drivers to come to a slop safely before the light turns red?
(b) What is the minimum distance cars must be from the intersection when the light turns yellow to come to a stop safely at the intersection?
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