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
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document.write( "• 16 represents 1/2g, the gravitational pull due to gravity (measured in feet per second2).
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document.write( "• v0 is the initial velocity (how hard do you throw the object, measured in feet per second).
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document.write( "• s0 is the initial distance above ground (in feet). If you are standing on the ground, then s0 = 0.
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document.write( "a) What is the function that describes this problem?
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document.write( "b) The ball will be how high above the ground after 1 second?
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document.write( "Answer:
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document.write( "c) How long will it take to hit the ground?
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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)![]() ![]() ![]() You can put this solution on YOUR website! 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 \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |