document.write( "Question 65897: 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?\r
\n" );
document.write( "\n" );
document.write( "Answer Choices:\r
\n" );
document.write( "\n" );
document.write( "A) 250.75
\n" );
document.write( "B) 298.00
\n" );
document.write( "C) 312.50
\n" );
document.write( "D) 337.50 \n" );
document.write( "
Algebra.Com's Answer #46664 by chitra(359)![]() ![]() You can put this solution on YOUR website! It is given that distance is directly proportional to the velocity square. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "This is represented as: \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "d directly proportional to \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "By data: \r \n" ); document.write( "\n" ); document.write( "If the speed of the car is 15 km/hr then the distance required to stop the car is 112.5m. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If the speed of the car is 25 km/hr then the distance required will be equal to ? \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let that be equal to \"x\".\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "To calculate this we use the data which says: \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "d directly proportional to \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hence,\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "112.5 m ==> \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "X m ==> \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let us cross multiply to find the distance \"x\"\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Therefore, \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = (70312.5/225)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 312.5m \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hence, the car requires 312.5m to stop if the velocity is 25 km/hr\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I hope the steps are clear.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |