document.write( "Question 1192897: The velocity of a sky diver t seconds after jumping is given by v(t) = 80(1 − e(-0.2t)). After how many seconds is the velocity 40 ft/s? (Round your answer to the nearest whole number.) \n" ); document.write( "

Algebra.Com's Answer #824814 by Alan3354(69443) $\"\"$ $\"About$

You can put this solution on YOUR website!
The velocity of a sky diver t seconds after jumping is given by v(t) = 80(1 − e(-0.2t)). After how many seconds is the velocity 40 ft/s?
\n" ); document.write( "------------------
\n" ); document.write( "v(t) = 80(1 − e(-0.2t)) = 40
\n" ); document.write( "(1 − e(-0.2t)) = 0.5
\n" ); document.write( "e(-0.2t) = 0.5
\n" ); document.write( "-0.2t = ln(0.5)
\n" ); document.write( "-t = 5*ln(0.5)
\n" ); document.write( "t = -5ln(0.5) =~ 3.466 seconds
\n" ); document.write( " \n" ); document.write( "

\n" );