document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1202581>Question 1202581</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The soccer player kicks the ball in the Figure above with an initial velocity of 35 m/s at an angle of 20°. (a) Calculate for the time when it reaches 0.40 m. (b) Find its position parallel to the field at height equal to 0.40 m. (c) Find the time when it reaches its highest point. (d) At what point is the ball at its highest and farthest?​ </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #837551 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16949)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=837551\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Initial velocity = U , angle =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+theta ALIGN=MIDDLE  ALT=\"+theta\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Here , Angle = 20 degrees, Initial velocity = 35m/s\r<BR>\n" );
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document.write( "35*sin 20 degrees   vertical velocity =11.97 m/s\r<BR>\n" );
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document.write( "35*cos 20 degrees   horizontal velocity  30.31 m/s\r<BR>\n" );
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document.write( "Newtons equation of motion, S= ut+1/2 * gt^2\r<BR>\n" );
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document.write( "a)	Time at which it is 0.4 m height\r<BR>\n" );
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document.write( " S=0.4 m,  u=35 sin 20^0<BR>\n" );
document.write( " -4.9t^2 +11.97t-0.4 =0<BR>\n" );
document.write( "Solve<BR>\n" );
document.write( "	t=2.40s  or   0.034s  Two values since path is parabolic\r<BR>\n" );
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document.write( "(b) Find its position parallel to the field at height equal to 0.40 m.<BR>\n" );
document.write( "Two horizontal  distance values <BR>\n" );
document.write( "35*cos 20 degrees   horizontal velocity  30.31 m/s\r<BR>\n" );
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document.write( "(1)	30.31 *0.034	m			(2)    30.31* *2.40 m\r<BR>\n" );
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document.write( "(c) Find the time when it reaches its highest point.<BR>\n" );
document.write( "Max height =  u^2/2g  = (11.97/2)^2*9.8 = 7.31 m<BR>\n" );
document.write( "d) At what point is the ball at its highest and farthest?<BR>\n" );
document.write( "v=u+gt<BR>\n" );
document.write( "Final velocity is 0 at maximum height<BR>\n" );
document.write( "0 =11.97 +(-9.8) *t<BR>\n" );
document.write( "t = 11.97 /9.8=1.22 s\r<BR>\n" );
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document.write( "Time of ascent = time of descent\r<BR>\n" );
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document.write( "Farthest = 1.22*2= 2.44 s\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/display-illustration.mpl?tutor=mananth&illustration_name=projectile.png\">.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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