document.write( "Question 304649: Can you please help me with this problem?\r
\n" ); document.write( "\n" ); document.write( "Throwing a wrench. An angry construction worker throws
\n" ); document.write( "his wrench downward from a height of 128 feet with an
\n" ); document.write( "initial velocity of 32 feet per second. The height of the
\n" ); document.write( "wrench above the ground after t seconds is given
\n" ); document.write( "by S(t)= 16t^2  32t + 128.
\n" ); document.write( "a) What is the height of the wrench after 1 second?
\n" ); document.write( "b) How long does it take for the wrench to reach the
\n" ); document.write( "ground?
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Algebra.Com's Answer #218171 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
When \"t+=+1\" sec
\n" ); document.write( "\"S%28t%29=+-16t%5E2+-+32t+%2B+128\"
\n" ); document.write( "\"S%281%29=+-16%2A1%5E2+-+32%2A1+%2B+128\"
\n" ); document.write( "\"S%281%29+=+-16+-+32+%2B+128\"
\n" ); document.write( "\"S%281%29+=+80\"
\n" ); document.write( "The height above ground is 80 ft
\n" ); document.write( "---------------------------------
\n" ); document.write( "When \"S%28t%29+=+0\" (the height above ground is zero)
\n" ); document.write( "\"-16t%5E2+-+32t+%2B+128+=+0\"
\n" ); document.write( "Solve using quadratic formula
\n" ); document.write( "\"t+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "\"a+=+-16\"
\n" ); document.write( "\"b+=+-32\"
\n" ); document.write( "\"c+=+128\"
\n" ); document.write( "
\n" ); document.write( "\"t+=+%2832+%2B-+sqrt%281024+%2B+8192+%29%29%2F%28-32%29+\"
\n" ); document.write( "\"t+=+%2832+%2B-+sqrt%28+9216+%29%29%2F%28-32%29+\"
\n" ); document.write( "\"t+=+%2832+%2B-+96%29%2F%28-32%29+\"
\n" ); document.write( "\"t+=+%2832+-+96%29%2F%28-32%29\"
\n" ); document.write( "\"t+=+%28-64%29%2F%28-32%29\"
\n" ); document.write( "\"t+=+2\"
\n" ); document.write( "In 2 sec the wrench will reach the ground
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