contestada

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?

Respuesta :

The distance to stop is 256 ft

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

[tex]\frac{80^2}{64^2}[/tex] = [tex]\frac{400}{S}[/tex]

here we are to find the S displacement

Thus S = 256 ft

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