document.write( "Question 52429: 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.
\n" ); document.write( "a) What is the function that describes this problem?
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\n" ); document.write( "\n" ); document.write( "b) The ball will be how high above the ground after 1 second?
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\n" ); document.write( "\n" ); document.write( "c) How long will it take to hit the ground?
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\n" ); document.write( "\n" ); document.write( "d) What is the maximum height of the ball? What time will the maximum height be attained?
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Algebra.Com's Answer #35022 by vanetiks(6)\"\" \"About 
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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.
\n" ); document.write( "a) What is the function that describes this problem?
\n" ); document.write( "Answer: s(t) = -162 + 32t\r
\n" ); document.write( "\n" ); document.write( "b) The ball will be how high above the ground after 1 second?
\n" ); document.write( "Answer: 16 feet
\n" ); document.write( "Show work in this space. \r
\n" ); document.write( "\n" ); document.write( "s(t) = -162 + 32t
\n" ); document.write( "s(1) = -16*(1)2 + 32*(1)
\n" ); document.write( "s(1) = -16 + 32
\n" ); document.write( "s(1) = 16 feet\r
\n" ); document.write( "\n" ); document.write( "c) How long will it take to hit the ground?
\n" ); document.write( "Answer: 2 seconds
\n" ); document.write( "Show work in this space. \r
\n" ); document.write( "\n" ); document.write( "s(t) = -162 + 32t
\n" ); document.write( "t(-16t + 3) = 0
\n" ); document.write( "t=0 & -16t+ 32 = 0\r
\n" ); document.write( "\n" ); document.write( "-16t+ 32 = 0
\n" ); document.write( "-16t + 32 - 32 = 0 -32
\n" ); document.write( "-16t = -32
\n" ); document.write( "-16t/-16 = -32/-16
\n" ); document.write( "t = 2\r
\n" ); document.write( "\n" ); document.write( "d) What is the maximum height of the ball? What time will the maximum height be attained?
\n" ); document.write( "Answer:Maximum height is 16 feet. The maximum height will be attained in 1 second.\r
\n" ); document.write( "\n" ); document.write( "Show work in this space.
\n" ); document.write( "t = -b/2*9
\n" ); document.write( " t = -32/2*(-16)
\n" ); document.write( " t = 1 second\r
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