document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=971350>Question 971350</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 4. How far does a ball, hit from a height of 3 feet at a speed of 120 feet per second and an angle of 30 degrees, go before it hits the ground? Round your answer to the nearest integer?<BR>\n" );
document.write( "X=(V cos() )t <BR>\n" );
document.write( "Y= h+(V sin () )t-16t^2 <BR>\n" );
document.write( "V IS INITIAL VELOCITY. ()= number for degree  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #593883 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=593883\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=3 ALIGN=MIDDLE  ALT=\"h=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >= initial height of the ball above the ground (in feet)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V=120 ALIGN=MIDDLE  ALT=\"V=120\"   DISABLED_style= \"max-width:90%; height:auto;\" >= initial ball speed (in feet per second)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g=32 ALIGN=MIDDLE  ALT=\"g=32\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ft ALIGN=MIDDLE  ALT=\"ft\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%22+%2F%22 ALIGN=MIDDLE  ALT=\"%22+%2F%22\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=second%5E2 ALIGN=MIDDLE  ALT=\"second%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >= acceleration of gravity<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=theta=30%5Eo ALIGN=MIDDLE  ALT=\"theta=30%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" >= initial angle of the ball trajectory with the horizontal ground<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t ALIGN=MIDDLE  ALT=\"t\"   DISABLED_style= \"max-width:90%; height:auto;\" >= time the ball is in the air (in seconds)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X=%28V%2Acos%28theta%29%29%2At ALIGN=MIDDLE  ALT=\"X=%28V%2Acos%28theta%29%29%2At\"   DISABLED_style= \"max-width:90%; height:auto;\" >= horizontal displacement of the ball (in feet)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y=h%2B%28V%2Asin%28theta%29%29%2At-16t%5E2 ALIGN=MIDDLE  ALT=\"Y=h%2B%28V%2Asin%28theta%29%29%2At-16t%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >= height of the ball above the horizontal ground (in feet)<BR>\n" );
document.write( " <BR>\n" );
document.write( "When the ball hits the horizontal ground, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y=0 ALIGN=MIDDLE  ALT=\"Y=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > . Then,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%2B%28V%2Asin%28theta%29%29%2At-16t%5E2=0 ALIGN=MIDDLE  ALT=\"h%2B%28V%2Asin%28theta%29%29%2At-16t%5E2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > , and substituting the known values,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2B%28120%2Asin%2830%5Eo%29%29%2At-16t%5E2=0 ALIGN=MIDDLE  ALT=\"3%2B%28120%2Asin%2830%5Eo%29%29%2At-16t%5E2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2B%28120%2A%281%2F2%29%29%2At-16t%5E2=0 ALIGN=MIDDLE  ALT=\"3%2B%28120%2A%281%2F2%29%29%2At-16t%5E2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2B60t-16t%5E2=0 ALIGN=MIDDLE  ALT=\"3%2B60t-16t%5E2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16t%5E2-60t-3=0 ALIGN=MIDDLE  ALT=\"16t%5E2-60t-3=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The solution to that quadratic equation that makes sense for this situation is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=aproximately3.8 ALIGN=MIDDLE  ALT=\"t=aproximately3.8\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "because the other solution is negative<BR>\n" );
document.write( "Plugging that value for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t ALIGN=MIDDLE  ALT=\"t\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "and the known values for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=theta ALIGN=MIDDLE  ALT=\"theta\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V ALIGN=MIDDLE  ALT=\"V\"   DISABLED_style= \"max-width:90%; height:auto;\" > into<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X=%28V%2Acos%28theta%29%29%2At ALIGN=MIDDLE  ALT=\"X=%28V%2Acos%28theta%29%29%2At\"   DISABLED_style= \"max-width:90%; height:auto;\" > we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X=%28120%2Acos%2830%5Eo%29%29%2A3.8 ALIGN=MIDDLE  ALT=\"X=%28120%2Acos%2830%5Eo%29%29%2A3.8\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X=approximately395 ALIGN=MIDDLE  ALT=\"X=approximately395\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );