document.write( "Question 1047597: If a body travels half its total path in the last 1.70 s of its fall from rest, find the total time of its fall (in seconds). \n" ); document.write( "
Algebra.Com's Answer #663294 by ikleyn(52776)\"\" \"About 
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\n" ); document.write( "If a body travels half its total path in the last 1.70 s of its fall from rest, find the total time of its fall (in seconds).
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document.write( "Let \"t\" be the total time of the body falling.\r\n" );
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document.write( "Then H = \"%28gt%5E2%29%2F2\" is the total path (total height).\r\n" );
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document.write( "The path the body fell from the beginning (from the start) to the last 1.70 s of its fall is  h = \"%28g%28t-1.7%29%5E2%29%2F2\".\r\n" );
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document.write( "According to the condition, H = 2h, which gives you an equation\r\n" );
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document.write( "\"%28gt%5E2%29%2F2\" = \"2%2A%28g%28t-1.7%29%5E2%29%2F2\".\r\n" );
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document.write( "Cancel factor \"g\" in both sides and simplify. You will get\r\n" );
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document.write( "\"t%5E2\" = \"2%2A%28t-1.7%29%5E2\",  or\r\n" );
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document.write( "\"t%5E2\" = \"2%2At%5E2+-+2%2A2%2A1.7+%2B+2%2A1.7%5E2\",   or\r\n" );
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document.write( "\"t%5E2+-+4%2A1.7%2At+%2B+2%2A1.7%2A2\" = 0.\r\n" );
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document.write( "Solve this quadratic equation for \"t\" to get the answer.\r\n" );
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document.write( "I am leaving it to you.\r\n" );
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