document.write( "Question 1194782: acceleration assume that a fully loaded plane starting from rest has a constant acceleration while moving down a runway.the plane requires 0.7 mile of runway and a speed of 160 miles per hour in order to lift off. \n" ); document.write( "
Algebra.Com's Answer #827057 by ikleyn(52798)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "acceleration assume that a fully loaded plane starting from rest has a constant acceleration
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document.write( "There are two basic relations between acceleration \"a\", speed \"v\", time \"t\" and distance \"S\"\r\n" );
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document.write( "    S(t) = \"%28at%5E2%29%2F2\"   for distance        (1)\r\n" );
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document.write( "and\r\n" );
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document.write( "    v = at   for speed                   (2)\r\n" );
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document.write( "In this problem, the input data are the distance and the speed.\r\n" );
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document.write( "So, from (2) we express  t = \"v%2Fa\"  and substitute it into (1). Doing this way, we get\r\n" );
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document.write( "    S(t) = \"%28a%2A%28v%2Fa%29%5E2%29%2F2\" = \"v%5E2%2F%282a%29\".\r\n" );
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document.write( "It gives us\r\n" );
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document.write( "    a = \"v%5E2%2F%282%2AS%29\".    (3)\r\n" );
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document.write( "It the direct formula, which allows us to compute acceleration having the distance and the speed.\r\n" );
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document.write( "You only need substitute given values in formula (3)\r\n" );
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document.write( "    a = \"160%5E2%2F%282%2A0.7%29\" = 18285.7 miles per hour per hour.\r\n" );
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document.write( "Formally, it is the answer to the problem's question.\r\n" );
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document.write( "I say \"formally\", because this unit  \"miles per hour per hour\"  is practically NEVER USED in practice.\r\n" );
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document.write( "But since your post says nothing about the desired unit, I will stop my explanations at this point.\r\n" );
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