document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=896852>Question 896852</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Imagine a sprinter accelerates from rest to maximum speed of 10.8 m/s in 1.8s.in what time interval will he finish. 100 meter race if he keeps the speed constant at 10. 8 m/s for the last part of the race what assumpitions did you make? Please show your work.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #543812 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=543812\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the formula for distance under acceleration is:\r<BR>\n" );
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document.write( "d = v*t + 1/2 * a * t^2\r<BR>\n" );
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document.write( "d = distance traveled<BR>\n" );
document.write( "v = initial velocity<BR>\n" );
document.write( "t = time<BR>\n" );
document.write( "a = acceleration.\r<BR>\n" );
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document.write( "you also need the acceleration formula of:\r<BR>\n" );
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document.write( "a = change in velocity divided by change in time.\r<BR>\n" );
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document.write( "the runner accelerates from 0 velocity to 10.8 meters per second in 1.8 seconds.\r<BR>\n" );
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document.write( "the acceleration formula is a = change in velocity divided by time.\r<BR>\n" );
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document.write( "change in velocity is from 0 to 10.8 meters per second which is equal to 10.8\r<BR>\n" );
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document.write( "the time is 1.8 seconds.\r<BR>\n" );
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document.write( "the acceleration is 10.8/1.8 = 6 meters per second squared.\r<BR>\n" );
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document.write( "now we can find the distance traveled during the acceleration.\r<BR>\n" );
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document.write( "the formula is d = v*t + 1/2 * a * t^2\r<BR>\n" );
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document.write( "v*t = 0 because the initial velocity is equal to 0.\r<BR>\n" );
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document.write( "the formula becomes:\r<BR>\n" );
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document.write( "d = 0 + 1/2 * a * t^2\r<BR>\n" );
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document.write( "a is equal to 6 meters per second squared.<BR>\n" );
document.write( "t^2 is equal to 1.8^2.\r<BR>\n" );
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document.write( "formula becomes:\r<BR>\n" );
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document.write( "d = 0 + 1/2 * 6 * 1.8^2 which is equal to 9.72 meters.\r<BR>\n" );
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document.write( "the runner has run 9.72 meters during the runner's acceleration phase.\r<BR>\n" );
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document.write( "since the race is 110 meters, the runner has another 100.28 meters to go.\r<BR>\n" );
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document.write( "since rate * time = distance, the formula becomes:\r<BR>\n" );
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document.write( "10.8 meters per second * time = 100.28 meters.\r<BR>\n" );
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document.write( "solve for time to get time = 100.28 / 10.8 = 9.29 seconds rounded to the nearest one hundredth of a second.\r<BR>\n" );
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document.write( "add that  to the 1.8 second that the runner took to get up to speed and the total time the runner took to finish the race is is 9.29 + 1.8 = 11.09 seconds.\r<BR>\n" );
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document.write( "that's your solution if i did this correctly.\r<BR>\n" );
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document.write( "total time is 11.09 seconds.\r<BR>\n" );
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