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Mathematics 19 Online
OpenStudy (anonymous):

exponential with limits. How do I solve a problem like this: The velocity v(t) of a 137 pound skydiver is approximated by \[v(t) = \frac{ 137 }{ 1.1 }(1 - e^{-24.2t/137})\] where t is in seconds after jumping from a plane. What is the skydiver's terminal velocity? That is, in terms of the constants of the problem \[\lim_{t \rightarrow \infty} v(t) = \] and then How long after jumping does it take the skydiver to reach 52 percent of the terminal velocity?

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