The stopping distance d of a car after the brakes are applied varies directly as the square of the speed r. If a car travelling 80 mph can stop in 400 ft, how many feet will it take the same car to stop when it is travelling 64 mph?

Explanation:

The displacement of car is given as directly proportional to its speed

Thus ( 80 )² ∝ 400                          I

Similarly in second case

( 64 )² ∝ S                                      II

dividing II by I

=

here we are to find the S displacement

Thus S = 256 ft

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