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
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\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
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Algebra.Com's Answer #46664 by chitra(359)\"\" \"About 
You can put this solution on YOUR website!
It is given that distance is directly proportional to the velocity square. \r
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\n" ); document.write( "\n" ); document.write( "This is represented as: \r
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\n" ); document.write( "\n" ); document.write( "d directly proportional to \"v%5E2\"\r
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\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
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\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
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\n" ); document.write( "\n" ); document.write( "Let that be equal to \"x\".\r
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\n" ); document.write( "\n" ); document.write( "To calculate this we use the data which says: \r
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\n" ); document.write( "\n" ); document.write( "d directly proportional to \"v%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "Hence,\r
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\n" ); document.write( "\n" ); document.write( "112.5 m ==> \"15%5E2\"km/hr\r
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\n" ); document.write( "\n" ); document.write( "X m ==> \"25%5E2\"km /hr \r
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\n" ); document.write( "\n" ); document.write( "Let us cross multiply to find the distance \"x\"\r
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\n" ); document.write( "\n" ); document.write( "Therefore, \r
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\n" ); document.write( "\n" ); document.write( "x = \"%28112.5+%2A+25+%2A+25%29%2F%2815+%2A+15%29\" \r
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\n" ); document.write( "\n" ); document.write( "x = \"%28112.5+%2A+625%29%2F%28225%29\" \r
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\n" ); document.write( "\n" ); document.write( "x = (70312.5/225)\r
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\n" ); document.write( "\n" ); document.write( "x = 312.5m \r
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\n" ); document.write( "\n" ); document.write( "Hence, the car requires 312.5m to stop if the velocity is 25 km/hr\r
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\n" ); document.write( "\n" ); document.write( "I hope the steps are clear.\r
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