document.write( "Question 446122: If an object is tossed into the air the path of this object is represented by the equation atē+bt+c=h where h is the height after t seconds, a is the acceleration due to gravity, b is the initial velocity, and c is the initial height.\r
\n" ); document.write( "\n" ); document.write( "a.A rocket is thrust vertically upward from the top of a tower 80 feet tall, with an initial velocity of 64 ft/s, (the acceleration due to gravity is -16ft/sec). Write the quadratic equation representing this scenario when h is 0.
\n" ); document.write( "b.Find the roots (solutions) for this quadratic equation, solving by factoring.
\n" ); document.write( "c.How high will the rocket be after 3 seconds?
\n" ); document.write( "d.How long will it take for the rocket to hit the ground?
\n" ); document.write( "How long will it take for the rocket to hit the ground?
\n" ); document.write( "Given the graph of the equation, identify and appropriately label, the vertex, solutions or roots, all intercepts, and axis of symmetry.
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\n" ); document.write( "\n" ); document.write( "Given the graph of the equation, identify and appropriately label, the vertex, solutions or roots, all intercepts, and axis of symmetry.
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Algebra.Com's Answer #307336 by ankor@dixie-net.com(22740)\"\" \"About 
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If an object is tossed into the air the path of this object is represented by the
\n" ); document.write( " equation atē+bt+c=h where h is the height after t seconds, a is the acceleration
\n" ); document.write( " due to gravity, b is the initial velocity, and c is the initial height.
\n" ); document.write( ":
\n" ); document.write( "a.A rocket is thrust vertically upward from the top of a tower 80 feet tall,
\n" ); document.write( " with an initial velocity of 64 ft/s, (the acceleration due to gravity is -16ft/sec).
\n" ); document.write( " Write the quadratic equation representing this scenario when h is 0.
\n" ); document.write( "-16t^2 + 64t + 80 = 0
\n" ); document.write( ":
\n" ); document.write( "b.Find the roots (solutions) for this quadratic equation, solving by factoring.
\n" ); document.write( "-16t^2 + 64t + 80 = 0
\n" ); document.write( "Simplify, divide by -16, (makes it easier to factor), results:
\n" ); document.write( "t^2 - 4t - 5 = 0
\n" ); document.write( "factors to
\n" ); document.write( "(t-5)(t+1) = 0
\n" ); document.write( "Roots
\n" ); document.write( "t=+5
\n" ); document.write( "t=-1
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\n" ); document.write( "c.How high will the rocket be after 3 seconds?
\n" ); document.write( "Replace t with 3 in the original equation
\n" ); document.write( "h = -16(3^2) + 64(3) + 80
\n" ); document.write( "h = -16(9) + 192 + 80
\n" ); document.write( "h = -144 + 192 + 80
\n" ); document.write( "h = 128 ft after 3 sec
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\n" ); document.write( "d.How long will it take for the rocket to hit the ground?
\n" ); document.write( "the positive root: t=5 sec, then h=0, which is the ground
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\n" ); document.write( "Given the graph of the equation, identify and appropriately label, the vertex, solutions or roots, all intercepts, and axis of symmetry.
\n" ); document.write( "\"+graph%28+300%2C+200%2C+-2%2C+8%2C+-20%2C+150%2C+-16x%5E2%2B64x%2B80%29+\"
\n" ); document.write( "You can see on the graph, the x intercepts, -1 and +5, y intercept y=80
\n" ); document.write( "Vertex: x=2, y=144 Axis of symmetry: x=2 \r
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