document.write( "Question 63073: I have a quadratic function word problem that I need help with. I need help with the questions about it. This is the word problem ------ \"Suppose a baseball is shot up from the ground straight up with an initial velocity of 32 feet per second. A function can be created by expressing distance above the ground, s, as a function of time, t. This function is s = -16t2 + v0t + s0
\n" ); document.write( "- 16 represents 1/2g, the gravitational pull due to gravity (measured in feet per second2).
\n" ); document.write( "- v0 is the initial velocity (how hard do you throw the object, measured in feet per second).
\n" ); document.write( "- s0 is the initial distance above ground (in feet). If you are standing on the ground, then s0 = 0.\"\r
\n" ); document.write( "\n" ); document.write( "These are the questions.\r
\n" ); document.write( "\n" ); document.write( "What function are they using in this problem?
\n" ); document.write( "The ball will be how high above the ground after 1 second?
\n" ); document.write( "How long will it take to hit the ground?
\n" ); document.write( "What is the maximum height of the ball? What time will the maximum height be attained? \r
\n" ); document.write( "\n" ); document.write( "Thank You in advance.\r
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Algebra.Com's Answer #43888 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
I have a quadratic function word problem that I need help with. I need help with the questions about it. This is the word problem ------ \"Suppose a baseball is shot up from the ground straight up with an initial velocity of 32 feet per second. A function can be created by expressing distance above the ground, s, as a function of time, t. This function is s = -16t2 + v0t + s0
\n" ); document.write( "- 16 represents 1/2g, the gravitational pull due to gravity (measured in feet per second2).
\n" ); document.write( "- v0 is the initial velocity (how hard do you throw the object, measured in feet per second).
\n" ); document.write( "- s0 is the initial distance above ground (in feet). If you are standing on the ground, then s0 = 0.\"\r
\n" ); document.write( "\n" ); document.write( "These are the questions.\r
\n" ); document.write( "\n" ); document.write( "What function are they using in this problem?
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document.write( "The red words above answers that question.\r\n" );
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\n" ); document.write( "The ball will be how high above the ground after 1 second?
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document.write( "Substitute v0 = 32, s0 = 0, and t = 1 in\r\n" );
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document.write( "s = -16t² + v0t + s0\r\n" );
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document.write( "s = -16(1)² + 32(1) + 0\r\n" );
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document.write( "s = -16(1) + 32\r\n" );
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document.write( "s = -16 + 32\r\n" );
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document.write( "s = 16 feet\r\n" );
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\n" ); document.write( "How long will it take to hit the ground?
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document.write( "Substitute v0 = 32, s0 = 0, and s = 0 in\r\n" );
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document.write( "         s = -16t² + v0t + s0\r\n" );
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document.write( "         0 = -16t² + 32t + 0\r\n" );
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document.write( "16t² - 32t = 0\r\n" );
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document.write( "Divide through by 16\r\n" );
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document.write( "   t² - 2t = 0\r\n" );
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document.write( "Factor out t on the left:\r\n" );
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document.write( "  t(t - 2) = 0\r\n" );
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document.write( "Set each factor equal to 0:\r\n" );
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document.write( " t = 0,  t - 2 = 0\r\n" );
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document.write( " t = 0,      t = 2\r\n" );
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document.write( "The first solution tells us\r\n" );
document.write( "the ball was on the ground at\r\n" );
document.write( "the start.  We already knew\r\n" );
document.write( "that. The second solution tells\r\n" );
document.write( "us that the ball is back on the \r\n" );
document.write( "ground 2 seconds later. That is\r\n" );
document.write( "the solution we want.      \r\n" );
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\n" ); document.write( "What time will the maximum height be attained?
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document.write( "The ball takes exactly the same amount\r\n" );
document.write( "of time to go up as it takes to come \r\n" );
document.write( "down, so since it takes 2 seconds to go\r\n" );
document.write( "up and come down, it takes half that, or\r\n" );
document.write( "1 second to go up, and 1 second to come\r\n" );
document.write( "down.\r\n" );
document.write( "

\n" ); document.write( "What is the maximum height of the ball?
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\r\n" );
document.write( "Substitute v0 = 32, s0 = 0, and t = 1 in\r\n" );
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document.write( "s = -16t² + v0t + s0\r\n" );
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document.write( "We already did that in the first part and \r\n" );
document.write( "got 16 feet.\r\n" );
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document.write( "Edwin
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