document.write( "Question 36560: a)
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document.write( "2) Suppose you throw a baseball straight up at a 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 ½g, the gravitational pull due to gravity (measured in feet per second 2).
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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( "Answer:
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document.write( "d) What is the maximum height of the ball?
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document.write( "Answer:
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Algebra.Com's Answer #22460 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! 2) Suppose you throw a baseball straight up at a 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 ½g, the gravitational pull due to gravity (measured in feet per second 2). \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: \n" ); document.write( "s(t)= -16t^2+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: \n" ); document.write( "Show work in this space. \n" ); document.write( "s(1)=-16+32=16 ft. above the ground\r \n" ); document.write( "\n" ); document.write( "c) How long will it take to hit the ground? \n" ); document.write( "\"Hit the ground\" means the distance above the ground is \"0\". \n" ); document.write( "0=-16t^2+32t \n" ); document.write( "0=-16t(t-2) \n" ); document.write( "t=0 and t=2 \n" ); document.write( "The ball will be on the ground at time t=0 and time t=2 sec.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "d) What is the maximum height of the ball? \n" ); document.write( "Answer: \n" ); document.write( "Show work in this space. \n" ); document.write( "The maximum occurs when t=-b/2a=-32/[(2)(-16)]= 1 sec. \r \n" ); document.write( "\n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |