document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=136230>Question 136230</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Thanks for the previous questions answered. Pls, I need your help here, and it is urgent\r<BR>\n" );
document.write( "\n" );
document.write( "An object is thrown vertically upward where its height, in meters, is given by <BR>\n" );
document.write( "s(t) = -5t2 + 25t and t is the time, in seconds.   Answer the question below.<BR>\n" );
document.write( " <BR>\n" );
document.write( "What is the velocity of the object at 1 second after it has been released?<BR>\n" );
document.write( " <BR>\n" );
document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #99781 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=99781\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%28t%29+=+-5t%5E2%2B25t ALIGN=MIDDLE  ALT=\"s%28t%29+=+-5t%5E2%2B25t\"   DISABLED_style= \"max-width:90%; height:auto;\" > as the function of the height of an object propelled vertically upwards, find the velocity of the object after 1 second.<BR>\n" );
document.write( "Velocity is rate of change of distance (height in this case) with respect to time, t.<BR>\n" );
document.write( "To find the rate of change of the function, you would find the first derivative of s(t).<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%28s%28t%29%29%2Fdt+=+-10t%2B25 ALIGN=MIDDLE  ALT=\"d%28s%28t%29%29%2Fdt+=+-10t%2B25\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now substitute t = 1 second.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%28s%281%29%29%2Fdt+=+-10%281%29%2B25 ALIGN=MIDDLE  ALT=\"d%28s%281%29%29%2Fdt+=+-10%281%29%2B25\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15 ALIGN=MIDDLE  ALT=\"15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The velocity at 1 second is 15 m/s. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );