document.write( "Question 159118: A ball is thrown downward from a window in a tall building. Its position in time t in seconds is s=16t^2 + 32t, where s is in feet. how long (to the nearest tenth) will it take the ball to fall 175 feet? \n" ); document.write( "
Algebra.Com's Answer #117235 by stanbon(75887)\"\" \"About 
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A ball is thrown downward from a window in a tall building. Its position in time t in seconds is s=16t^2 + 32t, where s is in feet. how long (to the nearest tenth) will it take the ball to fall 175 feet?
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\n" ); document.write( "s(t) = -16t^2 -32t + 175
\n" ); document.write( "175 is the height of the building; -32 is the throw velocity downward,
\n" ); document.write( "the -16 is the velocity downward due to gravity.
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\n" ); document.write( "When the ball hits the ground s(t) = 0
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\n" ); document.write( "-16t^2 -32t + 175 = 0
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\n" ); document.write( "Using the quadratic formula, solve for \"t\":
\n" ); document.write( "t = [32 +- sqrt(32^2 - 4*-16*175)] / [-2*-16]
\n" ); document.write( "t = [32 +- sqrt(12224)]/[32]
\n" ); document.write( "t = [32 +- 110.56]/32
\n" ); document.write( "Positive answer:
\n" ); document.write( "t = 4.46 seconds
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.\r
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