document.write( "Question 1108742: I have a test next week and need help working out and solving
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\n" ); document.write( "James Bond stands on top of a 240-foot building and throws a film canister
\n" ); document.write( "upward to a fellow agent in a helicopter 16ft above the building. The height
\n" ); document.write( "of the film canister above the ground t seconds later given by the formula
\n" ); document.write( "H(t) = -16t^2 +32t + 240, where is h is in feet?\r
\n" ); document.write( "\n" ); document.write( "A. If the film canister reaches the agent in the helicopter at its
\n" ); document.write( "highest point, how long will it take the film canister to reach the agent?\r
\n" ); document.write( "\n" ); document.write( "B. If the film canister is not caught by the agent in the helicopter and
\n" ); document.write( "falls to the ground, how long will it take to hit the ground? Solve by
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Algebra.Com's Answer #723755 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
James Bond stands on top of a 240-foot building and throws a film canister
\n" ); document.write( "upward to a fellow agent in a helicopter 16ft above the building. The height
\n" ); document.write( "of the film canister above the ground t seconds later given by the formula
\n" ); document.write( "H(t) = -16t^2 +32t + 240, where is h is in feet?\r
\n" ); document.write( "\n" ); document.write( "A. If the film canister reaches the agent in the helicopter at its
\n" ); document.write( "highest point, how long will it take the film canister to reach the agent?\r
\n" ); document.write( "\n" ); document.write( "B. If the film canister is not caught by the agent in the helicopter and
\n" ); document.write( "falls to the ground, how long will it take to hit the ground? Solve by
\n" ); document.write( "factoring.
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document.write( "H(t) = -16tē + 32t + 240\r\n" );
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document.write( "The highest point is the vertex of the parabola \r\n" );
document.write( "We use the vertex formula, which is:\r\n" );
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document.write( "for a = -16, b = 32, and c = 240\r\n" );
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document.write( "So when t=1 second, it reaches its maximum height of\r\n" );
document.write( "256 feet, which is 16 feet above the 240-foot building.  \r\n" );
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document.write( "Answer: it takes him 1 second.\r\n" );
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\n" ); document.write( "B. If the film canister is not caught by the agent
\n" ); document.write( "in the helicopter and falls to the ground, how long will
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document.write( "The ground is 0 feet from the ground.\r\n" );
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document.write( "So we substitute 0 for H(t) and solve for t:\r\n" );
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document.write( "H(t) = -16tē + 32t + 240\r\n" );
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document.write( "   0 = -16tē + 32t + 240\r\n" );
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document.write( "Divide through by -16\r\n" );
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document.write( "   0 = tē - 2t - 15\r\n" );
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document.write( "Factor:\r\n" );
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document.write( "   0 = (t - 5)(t + 3)\r\n" );
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document.write( "  t - 5 = 0;  t + 3 = 0\r\n" );
document.write( "      t = 5;      t = -3 (time can't be negative,\r\n" );
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document.write( "so the only solution is t = 5 seconds.\r\n" );
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document.write( "Edwin
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