document.write( "Question 1174200: 4. The distance a body falls from rest (neglecting air resistance) varies directly as the square of the time it falls. If an object drops 64 feet in 2 seconds, how many seconds will it take an object to reach the sea if it is dropped from a plane 2500 feet above the sea level? (show complete solution using variations thanks!) \n" ); document.write( "

Algebra.Com's Answer #799591 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "The distance a body falls from rest (neglecting air resistance) varies directly as the square of the time it falls.
\n" ); document.write( "If an object drops 64 feet in 2 seconds, how many seconds will it take an object to reach the sea if it is dropped from
\n" ); document.write( "a plane 2500 feet above the sea level? (show complete solution using variations thanks!)
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document.write( "There are two ways to solve this problem.\r\n" );
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document.write( "One way (using variations) is long and assumes making a number of unnecessary calculation; so, it is open for making errors.\r\n" );
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document.write( "The other way is short and error's proven.\r\n" );
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document.write( "Going short vay,  you make the ratio of distances    and the corresponding ratio of squares of times  ,\r\n" );
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document.write( "where \"t\" is the unknown value under the problem's question.\r\n" );
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document.write( "Then you equate these two ratios and get the equation\r\n" );
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document.write( "     = .\r\n" );
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document.write( "From the equation,   = ;  hense  t =  =  = 12.5  seconds.\r\n" );
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document.write( "Doing in this way, you get the answer MENTALLY, even without using a calculator (!)\r\n" );
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document.write( "CHECK, using the formula from Physics.  H =  =  = 2500  feet.  (Precisely correct).\r\n" );
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\n" ); document.write( "\n" ); document.write( "Probably, some tutors will show you another way with variations . . . \r
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\n" ); document.write( "\n" ); document.write( "I prefer this short method, and I want to get you acquainted with it, because in the school\r
\n" ); document.write( "\n" ); document.write( "nobody and never will tell you about it : it is how the US educational system works in Math.\r
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