document.write( "Question 24376: Mitch tossed an apple to kathy, who was on a balcony 40ft above him,with an initial speed of 56ft/s. Kathy missed the apple on its way up,but caught it on its way down. How long was the apple in the air?\r
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Algebra.Com's Answer #12957 by AnlytcPhil(1807)\"\" \"About 
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Mitch tossed an apple to kathy, who was on a balcony 40ft above him,\r\n" );
document.write( "with an initial speed of 56ft/s. Kathy missed the apple on its way up,\r\n" );
document.write( "but caught it on its way down. How long was the apple in the air? \r\n" );
document.write( "Formula: h = rt - 16t2\r\n" );
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document.write( "                                             h = rt - 16t2\r\n" );
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document.write( "r = initial speed = 56, so\r\n" );
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document.write( "                                             h = 56t - 16t2\r\n" );
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document.write( "We want to find the time when the apple was at a height of 40,\r\n" );
document.write( "so we replace h by 40 and solve for t:\r\n" );
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document.write( "                                            40 = 56t - 16t2\r\n" );
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document.write( "Get 0 on the right\r\n" );
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document.write( "                               16t2 - 56t + 40 = 0\r\n" );
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document.write( "Factor 8 out of left side\r\n" );
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document.write( "                                8(2t2 -7t + 5) = 0\r\n" );
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document.write( "Factor the trinomial\r\n" );
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document.write( "                              8(t - 1)(2t - 5) = 0\r\n" );
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document.write( "Set each factor = 0 which contains a variable\r\n" );
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document.write( "Setting first factor = 0\r\n" );
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document.write( "                          t - 1 = 0 gives t = 1 second\r\n" );
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document.write( "Setting second factor = 0\r\n" );
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document.write( "                         2t - 5 = 0 gives t = 5/2 or 2.5 seconds.\r\n" );
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document.write( "The two answers are the times the apple was even with Kathy.\r\n" );
document.write( "If Kathy had caught the apple on its way up, the answer would\r\n" );
document.write( "have been 1 second.  But since she missed it then, but caught\r\n" );
document.write( "it on its way back down, the answer is 2.5 seconds.\r\n" );
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document.write( "[The apple went 9 feet above her head before it started falling,\r\n" );
document.write( "but you weren't asked for that information. But he threw it\r\n" );
document.write( "rather hard, which is why she missed it on its way up. :-) ] \r\n" );
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document.write( "Edwin\r\n" );
document.write( "AnlytcPhil@aol.com
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