document.write( "Question 171930: suppose that an object is thrown into the air with an intial upward velocity of vo meters per second from a height ho meters above the ground. Then t seconds later, its height h(t) meters above the ground is modeled by the function
\n" ); document.write( "h(t)= -4.9 t^2 + vot + ho. (this model dosent' account for resistance) \r
\n" ); document.write( "\n" ); document.write( "given that information, the question is:\r
\n" ); document.write( "\n" ); document.write( "One half second after springing from a high diving board, a diver reaches her highest point above the water, 4.225 m. If the diving board is 3 meters above the water, how long is the diver in the air?\r
\n" ); document.write( "\n" ); document.write( "I would really appreciate any help I can recieve on this problem.
\n" ); document.write( "please help soon, thanks! \n" ); document.write( "
Algebra.Com's Answer #127099 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
suppose that an object is thrown into the air with an intial upward velocity of
\n" ); document.write( " vo meters per second from a height ho meters above the ground.
\n" ); document.write( "Then t seconds later, its height h(t) meters above the ground is modeled by the function
\n" ); document.write( "h(t)= -4.9 t^2 + vot + ho.
\n" ); document.write( ":
\n" ); document.write( "given that information, the question is:
\n" ); document.write( "One half second after springing from a high diving board, a diver reaches her
\n" ); document.write( " highest point above the water, 4.225 m.
\n" ); document.write( "If the diving board is 3 meters above the water, how long is the diver in the air?
\n" ); document.write( ":
\n" ); document.write( "In the above equation we know: t=.5; ho=3; h(t) = 4.225
\n" ); document.write( "Complete the equation by finding vo
\n" ); document.write( "-4.9(.5^2) + .5vo + 3 = 4.225
\n" ); document.write( "-4.9(.25) + .5vo = 4.225 - 3
\n" ); document.write( "-1.225 + .5vo = 1.225
\n" ); document.write( ".5vo = 1.225 + 1.225
\n" ); document.write( ".5vo = 2.45
\n" ); document.write( "vo = 2(2.45)
\n" ); document.write( "vo = 4.9 m/sec
\n" ); document.write( ":
\n" ); document.write( "When she strikes the water h(t) = 0, find the value of t when this happens
\n" ); document.write( "-4.9t^2 + 4.9t + 3 = 0
\n" ); document.write( ":
\n" ); document.write( "Solve this equation using the quadratic formula
\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 equation x=t; a=-4.9; b=4.9; c=3
\n" ); document.write( "\"t+=+%28-4.9+%2B-+sqrt%284.9%5E2+-+4%2A-4.9%2A3+%29%29%2F%282%2A-4.9%29+\"
\n" ); document.write( ":
\n" ); document.write( "\"t+=+%28-4.9+%2B-+sqrt%2824.01+%2B+58.8+%29%29%2F%28-9.8%29+\"
\n" ); document.write( ":
\n" ); document.write( "\"t+=+%28-4.9+%2B-+sqrt%2882.81%29%29%2F%28-9.8%29+\"
\n" ); document.write( "We want the positive solution here
\n" ); document.write( "\"t+=+%28-4.9+-+9.1%29%2F%28-9.8%29\"
\n" ); document.write( "t = +1.43 seconds the diver is in the air
\n" ); document.write( ":
\n" ); document.write( "The equation looks like this graphically
\n" ); document.write( "\"+graph%28+300%2C+200%2C+-.5%2C+2%2C+-3%2C+5%2C+-4.9x%5E2%2B4.9x%2B3%29+\"
\n" ); document.write( "Note the highest point is 4.2 m at .5 seconds and crosses the x axis about +1.4
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