document.write( "Question 1196553: A sky diver jumps from a reasonable height above the ground. The air resistance she experiences is proportional to her velocity, and the constant of proportionality is 0.2. It can be shown that the downward velocity of the sky diver at time t is given by
\n" ); document.write( "𝑣(𝑡) = 54(1 − exp(−0.2𝑡))
\n" ); document.write( "where t is measured in seconds and 𝑣(𝑡) is measured in meters/second. The maximum velocity of a falling object with wind resistance (as 𝑡 → ∞) is called its terminal velocity. With this definition, find the maximum velocity of this sky diver. \n" ); document.write( "

Algebra.Com's Answer #829436 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "As t ---> oo,   becomes small and tends to zero.\r\n" );
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document.write( "Therefore,  v(t)  becomes very close to 54 units and tends to 54 meters per second.\r\n" );
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