document.write( "Question 162802: Can anyone help me please, thanks a lot
\n" ); document.write( "Suppose Charlie O’Brian of the braves hits a baseball straight upward at 150 ft/sec from a height of 5 ft. Use the formula to determine how long it takes the ball to return to the earth.
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Algebra.Com's Answer #120009 by ankor@dixie-net.com(22740)\"\" \"About 
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Suppose Charlie O’Brian of the braves hits a baseball straight upward at 150 ft/sec from a height of 5 ft. Use the formula to determine how long it takes the ball to return to the earth.
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\n" ); document.write( "Let t = time in seconds
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\n" ); document.write( "The formula has 3 parts,
\n" ); document.write( "gravity, -16t^2; negative because it pulls downward
\n" ); document.write( "upward velocity, 150t positive because it's going upward
\n" ); document.write( "initial height, 5 ft; it starts from 5 ft above the ground
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\n" ); document.write( "The formula
\n" ); document.write( "h = -16t^2 + 150t + 5
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\n" ); document.write( "When it returns to earth h = 0, therefore:
\n" ); document.write( "-16t^2 + 150t + 5 = 0
\n" ); document.write( ":
\n" ); document.write( "We have to use the quadratic formula to solve for t:
\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "In this problem: a=-16; b=150; c=5
\n" ); document.write( "\"t+=+%28-150+%2B-+sqrt%28150%5E2+-+4%2A-16%2A5+%29%29%2F%282%2A-16%29+\"
\n" ); document.write( ":
\n" ); document.write( "\"t+=+%28-150+%2B-+sqrt%2822500+%2B+320+%29%29%2F%28-32%29+\"
\n" ); document.write( ":
\n" ); document.write( "\"t+=+%28-150+%2B-+sqrt%2822820%29%29%2F%28-32%29+\"
\n" ); document.write( ":
\n" ); document.write( "We want the positive solution here:
\n" ); document.write( "\"t+=+%28-150+-+151%29%2F%28-32%29+\"
\n" ); document.write( "t = \"%28-301%29%2F%28-32%29\"
\n" ); document.write( "t = + 9.4 sec to return to earth
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