A certain car traveling at 34.0 mph skids to a stop in 29 meters from the point where the brakes were applied.In approximately what distance would the car have stopped had it been going 105.4 mph?
A)279 m
B)158 m
C)90 m
D)51 m
E)29 m

Question

Quizplus · Accepted Answer

The stopping distance is proportional to the square of the velocity. If the velocity triples (from 34.0 mph to 102 mph, approximately 3 times), the stopping distance would increase by a factor of 3^2 = 9. Since the original stopping distance is 29 meters, the new stopping distance would be 29 meters * 9 = 261 meters. Option A, 279 meters, is the closest to this calculated value, acknowledging some approximation in the velocity increase from the exact 105.4 mph given.

A Certain Car Traveling at 34