document.write( "Question 599502: The stopping distance of a car after the brakes have been applied varies directly with the square of the speed. If a car traveling at 60 mph can stop in 180 ft., what is the distance needed to stop the same car traveling at 72 mph? \n" ); document.write( "
Algebra.Com's Answer #378979 by nerdybill(7384) You can put this solution on YOUR website! The stopping distance of a car after the brakes have been applied varies directly with the square of the speed. If a car traveling at 60 mph can stop in 180 ft., what is the distance needed to stop the same car traveling at 72 mph? \n" ); document.write( ". \n" ); document.write( "When you see \"direct variation\" think: \n" ); document.write( "y = kx \n" ); document.write( "where k is a constant. \n" ); document.write( ". \n" ); document.write( "We find that constant from: \"If a car traveling at 60 mph can stop in 180 ft\" \n" ); document.write( "y = kx \n" ); document.write( "180 = k(60) \n" ); document.write( "180/60 = k \n" ); document.write( "3 = k \n" ); document.write( ". \n" ); document.write( "Our general formula then is: \n" ); document.write( "y = 3x \n" ); document.write( ". \n" ); document.write( "now, we can answer: \n" ); document.write( "what is the distance needed to stop the same car traveling at 72 mph? \n" ); document.write( "y = 3(72) \n" ); document.write( "y = 216 feet \n" ); document.write( " |