document.write( "Question 203284: The height, h (in feet), of a falling object on Mars is given by h=-6t^2+s , where t is the time in seconds and s is the initial height in feet. If an object were dropped from a height of 237 feet, how long would it take to travel half the distance to the ground? (Round to two decimal places.) \n" ); document.write( "
Algebra.Com's Answer #153359 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! The height, h (in feet), of a falling object on Mars is given by h=-6t^2+s , \n" ); document.write( " where t is the time in seconds and s is the initial height in feet. \n" ); document.write( " If an object were dropped from a height of 237 feet, how long would it take to \n" ); document.write( " travel half the distance to the ground? (Round to two decimal places.) \n" ); document.write( ": \n" ); document.write( "half the distance: 237/2 = 118.5 ft \n" ); document.write( ": \n" ); document.write( "-6t^2 + 237 = 118.5 \n" ); document.write( "-6t^2 = 118.5 - 237 \n" ); document.write( "-6t^2 = -118.5 \n" ); document.write( "6t^2 = 118.5; multiplied by -1 \n" ); document.write( "t^2 = \n" ); document.write( "t^2 = 19.75 \n" ); document.write( "t = \n" ); document.write( "t = 4.44 sec to reach half way down \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution using 4.44 sec \n" ); document.write( "h = -6(4.44^2) + 237 \n" ); document.write( "h = -6(19.75) + 237 \n" ); document.write( "h = -118.5 + 237 \n" ); document.write( "h 118.5 \n" ); document.write( " |