SOLUTION: The stopping distance D of a car after the brakes have been applied varies directly as the square of the speed s. A certain car traveling at 50 mi/h can stop in 240 ft. What is the

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The stopping distance D of a car after the brakes have been applied varies directly as the square of the speed s. A certain car traveling at 50 mi/h can stop in 240 ft. What is the      Log On


   

Question 1128031: The stopping distance D of a car after the brakes have been applied varies directly as the square of the speed s. A certain car traveling at 50 mi/h can stop in 240 ft. What is the maximum speed it can be traveling if it needs to stop in 180 ft? Round your answer to one decimal place.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
d=ks^2
240=k*50^2
k=240/2500 or 24/250
use that in second
180=(24/250)*s^2
s^2=250*180/24=1875
s=sqrt(1875)=43.3 mph