document.write( "Question 1158945: An object is thrown upward at a speed of 91 feet per second by a machine from a height of 15 feet off the ground. The height h of the object after t seconds can be found using the equation h = − 16t^2 + 91t + 15\r
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document.write( "(a) When will the height be 102 feet?\r
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document.write( "(b) When will the object reach the ground? \n" );
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Algebra.Com's Answer #781931 by ikleyn(52780)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "(a) It will happen, when h(t) = 102, i.e.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " -16t^2 + 91t + 15 = 102.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " It is your basic equation to start.\r\n" ); document.write( "\r\n" ); document.write( " Solve it by any way you want.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " You will get 2 (two) roots.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " One root is the solution when the object moves up; the other root is the solution, when the object falls down.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "(b) It will reach the ground, when h(t) = 0, i.e.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " -16t^2 + 91t + 15 = 0.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " So, this time you should solve this equation.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Happy solving (!)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |