document.write( "Question 205111: I am an online college student. The name of my book is Blitzer College Algebra 5th edition. This is a student's solution manual. The author is Prentice Hall/Pearson.\r
\n" ); document.write( "\n" ); document.write( "Please help with this problem. I did get part of the solution, but I am not sure how to get the last two parts. This is the problem and what I have so far.\r
\n" ); document.write( "\n" ); document.write( "The path of a falling object is given by the function s=-16t+vot+so where vo represents the initial velocity in ft/sec and so represents the initial height.The variable t is time in seconds, and s is the height of the object in feet.\r
\n" ); document.write( "\n" ); document.write( "a) If a rock is thrown upward with an initial velocity of 32 feet per second from the top os a 40-foot building, write the height equation using this information.
\n" ); document.write( "answer: s=-16t^2+32t+40\r
\n" ); document.write( "\n" ); document.write( "b) How high is the rock after 0.5 seconds?
\n" ); document.write( "answer: 52 feet solution: s=-16(0.5)^2+32(0.5)+40
\n" ); document.write( " s=-16(0.25)+32(0.5)+40
\n" ); document.write( " s=-4+32(0.5)=40
\n" ); document.write( " s=-4+16+40
\n" ); document.write( " s=12+40
\n" ); document.write( " s=52 feet\r
\n" ); document.write( "\n" ); document.write( "These next two questions pertain to the same problem, but I am not sure how to get the equations that need to find my answers.\r
\n" ); document.write( "\n" ); document.write( "c) After how many seconds will the rock reach maximum height? \r
\n" ); document.write( "\n" ); document.write( "d) What is the maximum height?\r
\n" ); document.write( "\n" ); document.write( "Your help will be greatly appreciated. Thank you, Rae
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Algebra.Com's Answer #154829 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
s(t) =-16t^2+32t+40
\n" ); document.write( "a = -16 ; b = 32 ; c = 40
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\n" ); document.write( "These next two questions pertain to the same problem, but I am not sure how to get the equations that need to find my answers.
\n" ); document.write( "c) After how many seconds will the rock reach maximum height?
\n" ); document.write( "Maximum height occurs at t = -b/2a = -32/(2*-16) = 1 second
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\n" ); document.write( "d) What is the maximum height?
\n" ); document.write( "The height when t = 1 is s(1) = -16+32+40 = 56 ft.
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.\r
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