document.write( "Question 211479This question is from textbook Beginning & Intermediate Algebra
\n" ); document.write( ": An object is thrown upward from the top of an 80 foot building with an initial velocity of 64 feet per second. The height h of an object after t seconds is given by the quadratic equation (((h=-16t^2+64t+80))). When will the object hit the ground. \n" ); document.write( "
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An object is thrown upward from the top of an 80 foot building with an initial velocity of 64 feet per second. The height h of an object after t seconds is given by the quadratic equation (((h=-16t^2+64t+80))). When will the object hit the ground.\r
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\n" ); document.write( "\n" ); document.write( "Since we're looking for \"h,\" or the height at 0, we then set the equation to 0, and solve for t. We will then have:\r
\n" ); document.write( "\n" ); document.write( "\"0+=+-16t%5E2+%2B+64t+%2B+80\"\r
\n" ); document.write( "\n" ); document.write( "\"-16%280%29+=+-16%28t%5E2+-+4t+-+5%29\" ------> factoring out the GCF, -16\r
\n" ); document.write( "\n" ); document.write( "\"0+=+t%5E2+-+4t+-+5\" -------> \"-16+=+-16\"\r
\n" ); document.write( "\n" ); document.write( "0 = (t - 5)(t + 1)\r
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\n" ); document.write( "\n" ); document.write( "Therefore, t = 5, or -1, but t = - 1 is ignored\r
\n" ); document.write( "\n" ); document.write( "This means that the object will hit the ground \"highlight_green%285%29\" seconds after being thrown in the air.\r
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