document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1185380>Question 1185380</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Anne drove her car to Laguna from Manila. She was at 20 km when she noted that it was 9:00 AM and his speedometer indicated 50 km/h. At 9:30 AM, she saw his speedometer at 90 km/h and he was at 55 km. What is her acceleration (a) in km/hr/min? (b) in m/sec? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #849754 by </B><A HREF=/tutors/aboutme.mpl?userid=CPhill><B>CPhill(1959)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CPhill><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=CPhill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=849754\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Here's how to calculate Anne's acceleration:\r<BR>\n" );
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document.write( "**(a) Acceleration in km/hr/min:**\r<BR>\n" );
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document.write( "1. **Calculate the change in velocity:**<BR>\n" );
document.write( "   The change in velocity (Δv) is the difference between the final speed and the initial speed:<BR>\n" );
document.write( "   Δv = 90 km/h - 50 km/h = 40 km/h\r<BR>\n" );
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document.write( "2. **Calculate the change in time:**<BR>\n" );
document.write( "   The change in time (Δt) is the difference between the final time and the initial time:<BR>\n" );
document.write( "   Δt = 9:30 AM - 9:00 AM = 30 minutes\r<BR>\n" );
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document.write( "3. **Calculate the acceleration:**<BR>\n" );
document.write( "   Acceleration (a) is the change in velocity divided by the change in time:<BR>\n" );
document.write( "   a = Δv / Δt<BR>\n" );
document.write( "   a = 40 km/h / 30 min<BR>\n" );
document.write( "   a = 4/3 km/hr/min  or approximately 1.33 km/hr/min\r<BR>\n" );
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document.write( "**(b) Acceleration in m/s²:**\r<BR>\n" );
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document.write( "1. **Convert the change in velocity to m/s:**<BR>\n" );
document.write( "   Δv = 40 km/h * (1000 m/km) * (1 h/3600 s) = 100/9 m/s or approximately 11.11 m/s\r<BR>\n" );
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document.write( "2. **Convert the change in time to seconds:**<BR>\n" );
document.write( "   Δt = 30 min * 60 s/min = 1800 s\r<BR>\n" );
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document.write( "3. **Calculate the acceleration:**<BR>\n" );
document.write( "   a = Δv / Δt<BR>\n" );
document.write( "   a = (100/9 m/s) / 1800 s<BR>\n" );
document.write( "   a = 100 / (9 * 1800) m/s²<BR>\n" );
document.write( "   a = 1/162 m/s² or approximately 0.00617 m/s²<BR>\n" );
document.write( " </SPAN>\n" );
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