document.write( "Question 1188917: An object is propelled upward from 12 meters above ground with an initial velocity of 120 meters/second.
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document.write( "It's height can be modeled by the equation s(t)=-5t^2 +120t+12 meters, where t is time in seconds.
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document.write( "It's velocity can be modeled by the equation v(t)=-10t+120 meters/second, where t is time in seconds.
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document.write( "At what velocity did the object hit the ground? \n" );
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Algebra.Com's Answer #820113 by ikleyn(52798)![]() ![]() You can put this solution on YOUR website! .\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " This problem is to be solved in two steps.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "(1) First step is to solve this quadratic equation\r\n" ); document.write( "\r\n" ); document.write( " -5t^2 + 120t + 12 = 0\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " to determine the time when the object will hit the ground.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "(2) The second step is to substitute the found value of \"t\" into the formula for the velocity the object will hit the ground.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "This value will be negative, which means that the velocity is directed vertically down.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Happy calculations (!)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |