document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1206216>Question 1206216</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The formula h=-16t^2 + v0t +s0 give sthe hieght of an object tossed upward where v0 represents the initial velocity, s0 represents the initial height, and t represents time. A golf ball is his straight up from the ground level with an initial velocity of 72 ft/sec. <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #852104 by </B><A HREF=/tutors/aboutme.mpl?userid=johnsss><B>johnsss(2)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=johnsss><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=johnsss><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=852104\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To solve the problem using the equation. <BR>\n" );
document.write( "Source: https://mipromedio.co/blog/como-calcular-promedio-universitario/<BR>\n" );
document.write( "ℎ<BR>\n" );
document.write( "=<BR>\n" );
document.write( "−<BR>\n" );
document.write( "16<BR>\n" );
document.write( "𝑡<BR>\n" );
document.write( "2<BR>\n" );
document.write( "+<BR>\n" );
document.write( "𝑣<BR>\n" );
document.write( "0<BR>\n" );
document.write( "𝑡<BR>\n" );
document.write( "+<BR>\n" );
document.write( "𝑠<BR>\n" );
document.write( "0<BR>\n" );
document.write( "h=−16t <BR>\n" );
document.write( "2<BR>\n" );
document.write( " +v <BR>\n" );
document.write( "0<BR>\n" );
document.write( "​<BR>\n" );
document.write( " t+s <BR>\n" );
document.write( "0<BR>\n" );
document.write( "​<BR>\n" );
document.write( " , let's break it down:\r<BR>\n" );
document.write( "\n" );
document.write( "Given:\r<BR>\n" );
document.write( "\n" );
document.write( "𝑣<BR>\n" );
document.write( "0<BR>\n" );
document.write( "=<BR>\n" );
document.write( "72<BR>\n" );
document.write( "v <BR>\n" );
document.write( "0<BR>\n" );
document.write( "​<BR>\n" );
document.write( " =72 ft/sec (initial velocity)\r<BR>\n" );
document.write( "\n" );
document.write( "𝑠<BR>\n" );
document.write( "0<BR>\n" );
document.write( "=<BR>\n" );
document.write( "0<BR>\n" );
document.write( "s <BR>\n" );
document.write( "0<BR>\n" );
document.write( "​<BR>\n" );
document.write( " =0 (since the ball is hit from ground level)\r<BR>\n" );
document.write( "\n" );
document.write( "The equation becomes <BR>\n" );
document.write( "ℎ<BR>\n" );
document.write( "=<BR>\n" );
document.write( "−<BR>\n" );
document.write( "16<BR>\n" );
document.write( "𝑡<BR>\n" );
document.write( "2<BR>\n" );
document.write( "+<BR>\n" );
document.write( "72<BR>\n" );
document.write( "𝑡<BR>\n" );
document.write( "h=−16t <BR>\n" );
document.write( "2<BR>\n" );
document.write( " +72t\r<BR>\n" );
document.write( "\n" );
document.write( "This formula describes the height of the golf ball at any given time <BR>\n" );
document.write( "𝑡<BR>\n" );
document.write( "t. If you need to find specific values, like the maximum height or when the ball hits the ground, you'd follow these steps:\r<BR>\n" );
document.write( "\n" );
document.write( "Maximum Height: The maximum height occurs at the vertex of the parabola, which can be found by the formula <BR>\n" );
document.write( "𝑡<BR>\n" );
document.write( "max<BR>\n" );
document.write( "=<BR>\n" );
document.write( "−<BR>\n" );
document.write( "𝑣<BR>\n" );
document.write( "0<BR>\n" );
document.write( "2<BR>\n" );
document.write( "𝑎<BR>\n" );
document.write( "t <BR>\n" );
document.write( "max<BR>\n" );
document.write( "​<BR>\n" );
document.write( " =− <BR>\n" );
document.write( "2a<BR>\n" );
document.write( "v <BR>\n" );
document.write( "0<BR>\n" );
document.write( "​<BR>\n" );
document.write( " <BR>\n" );
document.write( "​<BR>\n" );
document.write( " . For this equation, <BR>\n" );
document.write( "𝑎<BR>\n" );
document.write( "=<BR>\n" );
document.write( "−<BR>\n" );
document.write( "16<BR>\n" );
document.write( "a=−16 and <BR>\n" );
document.write( "𝑣<BR>\n" );
document.write( "0<BR>\n" );
document.write( "=<BR>\n" );
document.write( "72<BR>\n" );
document.write( "v <BR>\n" );
document.write( "0<BR>\n" );
document.write( "​<BR>\n" );
document.write( " =72, so:\r<BR>\n" );
document.write( "\n" );
document.write( "𝑡<BR>\n" );
document.write( "max<BR>\n" );
document.write( "=<BR>\n" );
document.write( "−<BR>\n" );
document.write( "72<BR>\n" );
document.write( "2<BR>\n" );
document.write( "(<BR>\n" );
document.write( "−<BR>\n" );
document.write( "16<BR>\n" );
document.write( ")<BR>\n" );
document.write( "=<BR>\n" );
document.write( "72<BR>\n" );
document.write( "32<BR>\n" );
document.write( "=<BR>\n" );
document.write( "2.25<BR>\n" );
document.write( " <BR>\n" );
document.write( "seconds<BR>\n" );
document.write( "t <BR>\n" );
document.write( "max<BR>\n" );
document.write( "​<BR>\n" );
document.write( " = <BR>\n" );
document.write( "2(−16)<BR>\n" );
document.write( "−72<BR>\n" );
document.write( "​<BR>\n" );
document.write( " = <BR>\n" );
document.write( "32<BR>\n" );
document.write( "72<BR>\n" );
document.write( "​<BR>\n" );
document.write( " =2.25seconds<BR>\n" );
document.write( "Then substitute this into the equation to find the height at this time:\r<BR>\n" );
document.write( "\n" );
document.write( "ℎ<BR>\n" );
document.write( "=<BR>\n" );
document.write( "−<BR>\n" );
document.write( "16<BR>\n" );
document.write( "(<BR>\n" );
document.write( "2.25<BR>\n" );
document.write( ")<BR>\n" );
document.write( "2<BR>\n" );
document.write( "+<BR>\n" );
document.write( "72<BR>\n" );
document.write( "(<BR>\n" );
document.write( "2.25<BR>\n" );
document.write( ")<BR>\n" );
document.write( "=<BR>\n" );
document.write( "−<BR>\n" );
document.write( "16<BR>\n" );
document.write( "(<BR>\n" );
document.write( "5.0625<BR>\n" );
document.write( ")<BR>\n" );
document.write( "+<BR>\n" );
document.write( "162<BR>\n" );
document.write( "=<BR>\n" );
document.write( "−<BR>\n" );
document.write( "81<BR>\n" );
document.write( "+<BR>\n" );
document.write( "162<BR>\n" );
document.write( "=<BR>\n" );
document.write( "81<BR>\n" );
document.write( " <BR>\n" );
document.write( "ft<BR>\n" );
document.write( "h=−16(2.25) <BR>\n" );
document.write( "2<BR>\n" );
document.write( " +72(2.25)=−16(5.0625)+162=−81+162=81ft<BR>\n" );
document.write( "So, the maximum height is 81 feet.\r<BR>\n" );
document.write( "\n" );
document.write( "Time to hit the ground: The ball will hit the ground when <BR>\n" );
document.write( "ℎ<BR>\n" );
document.write( "=<BR>\n" );
document.write( "0<BR>\n" );
document.write( "h=0. Set the height equation equal to zero and solve for <BR>\n" );
document.write( "𝑡<BR>\n" );
document.write( "t:\r<BR>\n" );
document.write( "\n" );
document.write( "0<BR>\n" );
document.write( "=<BR>\n" );
document.write( "−<BR>\n" );
document.write( "16<BR>\n" );
document.write( "𝑡<BR>\n" );
document.write( "2<BR>\n" );
document.write( "+<BR>\n" );
document.write( "72<BR>\n" );
document.write( "𝑡<BR>\n" );
document.write( "0=−16t <BR>\n" );
document.write( "2<BR>\n" );
document.write( " +72t<BR>\n" );
document.write( "Factor:\r<BR>\n" );
document.write( "\n" );
document.write( "0<BR>\n" );
document.write( "=<BR>\n" );
document.write( "𝑡<BR>\n" );
document.write( "(<BR>\n" );
document.write( "−<BR>\n" );
document.write( "16<BR>\n" );
document.write( "𝑡<BR>\n" );
document.write( "+<BR>\n" );
document.write( "72<BR>\n" );
document.write( ")<BR>\n" );
document.write( "0=t(−16t+72)<BR>\n" );
document.write( "So, <BR>\n" );
document.write( "𝑡<BR>\n" );
document.write( "=<BR>\n" );
document.write( "0<BR>\n" );
document.write( "t=0 (at launch) or <BR>\n" );
document.write( "𝑡<BR>\n" );
document.write( "=<BR>\n" );
document.write( "72<BR>\n" );
document.write( "16<BR>\n" );
document.write( "=<BR>\n" );
document.write( "4.5<BR>\n" );
document.write( " <BR>\n" );
document.write( "seconds<BR>\n" );
document.write( "t= <BR>\n" );
document.write( "16<BR>\n" );
document.write( "72<BR>\n" );
document.write( "​<BR>\n" );
document.write( " =4.5seconds. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );