document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=349018>Question 349018</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The height in feet for a ball thrown upward at 48 feet per second is given by<BR>\n" );
document.write( "s(t)= -16t^2+ 48t, where t is the time<BR>\n" );
document.write( "in seconds after the ball is tossed. What is the maximum height that the ball will reach? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #249479 by </B><A HREF=/tutors/aboutme.mpl?userid=haileytucki><B>haileytucki(390)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=haileytucki><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=haileytucki><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=249479\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is the equation for a parabola that opens downward. The quadratic equation ax^2+bx+c is already in standard form:  where x = t, a = -16, b = 48, and c = 0. \r<BR>\n" );
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document.write( "The maximum height of the thrown object will be at the vertex (the maximumum value) (h, t) of the parabola. <BR>\n" );
document.write( "The t-coordinate (equivalent to the x-coordnate) of the vertex (this is the time at which the object reaches its maximum height) is given by   -(b/2a) where a = -16 and b = 48. \r<BR>\n" );
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document.write( "h=-16*((3)/(2))^(2)+48*((3)/(2))\r<BR>\n" );
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document.write( "Expand the exponent (2) to the expression.<BR>\n" );
document.write( "h=-16*((3^(2))/((2)^(2)))+48*((3)/(2))\r<BR>\n" );
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document.write( "Expand the exponent (2) to the expression.<BR>\n" );
document.write( "h=-16*((3^(2))/(2^(2)))+48*((3)/(2))\r<BR>\n" );
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document.write( "Squaring a number is the same as multiplying the number by itself (3*3).  In this case, 3 squared is 9.<BR>\n" );
document.write( "h=-16*((9)/(2^(2)))+48*((3)/(2))\r<BR>\n" );
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document.write( "Squaring a number is the same as multiplying the number by itself (2*2).  In this case, 2 squared is 4.<BR>\n" );
document.write( "h=-16*((9)/(4))+48*((3)/(2))\r<BR>\n" );
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document.write( "Multiply all the factors separated by a * in -16*((9)/(4))+48*((3)/(2)).<BR>\n" );
document.write( "h=-16((9)/(4))+48((3)/(2))\r<BR>\n" );
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document.write( "Multiply -16 by each term inside the parentheses.<BR>\n" );
document.write( "h=-36+48((3)/(2))\r<BR>\n" );
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document.write( "Multiply 48 by each term inside the parentheses.<BR>\n" );
document.write( "h=-36+72\r<BR>\n" );
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document.write( "Add 72 to -36 to get 36.<BR>\n" );
document.write( "h=36 feet in height </SPAN>\n" );
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