document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1002200>Question 1002200</A>: <I><SPAN STYLE=\"word-break: break-all;\"> When a skydiver jumps from an airplane, her downward velocity, in feet per second, before she opens her parachute is given by the formula below, where t is the number of seconds that have elapsed since she jumped from the airplane. The terminal velocity for the skydiver is 174 feet per second. \r<BR>\n" );
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document.write( "v = 174(1 - 0.834t) <BR>\n" );
document.write( " How long does it take to reach 75% of the terminal velocity? (Round your answer to two decimal places.)<BR>\n" );
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document.write( "\"The terminal velocity for the skydiver is 174 feet per second\" and it asks \"How long does it take to reach 75% of the terminal velocity?\"<BR>\n" );
document.write( "0.75*174 = 130.5<BR>\n" );
document.write( "So they want to know when the velocity will be 130.5 ft/s\r<BR>\n" );
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document.write( "v = 174*(1 - 0.834t) <BR>\n" );
document.write( "130.5 = 174*(1 - 0.834t)  .... plug in v = 130.5; solve for t<BR>\n" );
document.write( "130.5 = 174*1 + 174*(-0.834t) <BR>\n" );
document.write( "130.5 = 174 - 145.116t<BR>\n" );
document.write( "130.5 - 174 = -145.116t<BR>\n" );
document.write( "-43.5 = -145.116t<BR>\n" );
document.write( "-43.5/(-145.116) = t<BR>\n" );
document.write( "0.29976019184652 = t<BR>\n" );
document.write( "t = 0.29976019184652<BR>\n" );
document.write( "t = 0.30 ... round to 2 decimal places\r<BR>\n" );
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document.write( "So the approximate answer is t = 0.30<BR>\n" );
document.write( "It will take approximately 0.30 seconds for the velocity to be 75% of terminal velocity<BR>\n" );
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