document.write( "Question 81521: The distance required for a car to stop is directly proportional to the square of its velocity. If a car can stop in 112.5 meters at 15 kilometers per hour, how many meters are needed to stop at 25 kilometers per hour. \n" ); document.write( "
Algebra.Com's Answer #58354 by dolly(163)![]() ![]() ![]() You can put this solution on YOUR website! Given that the distance is directly proportional to to the square of velocity. \n" ); document.write( "Let 'd' be the distance and 'v' be the velocity. \n" ); document.write( "Then d = K v^2 where K is the constant of proportionality \n" ); document.write( "==> 112.5 = K (15)^2 \n" ); document.write( "==> 112.5 = K * 225 \n" ); document.write( "==> 112.5/225 = K \n" ); document.write( "==> K = 0.5\r \n" ); document.write( "\n" ); document.write( "Case(ii)\r \n" ); document.write( "\n" ); document.write( "Given v = 25\r \n" ); document.write( "\n" ); document.write( "So d = K*v^2 \n" ); document.write( " = 0.5 * (25)^2\r \n" ); document.write( "\n" ); document.write( " = 0.5 * 625\r \n" ); document.write( "\n" ); document.write( " = 312.5\r \n" ); document.write( "\n" ); document.write( "So 312.5 meters are needed to stop at 25 Km/hr \n" ); document.write( " |