Sunday, September 13, 2015

College Algebra, Chapter 5, 5.4, Section 5.4, Problem 80

v(t)=80(1e0.2t) represents the velocity of a sky diver t seconds after jumping. Determine how many seconds will it take so that the velocity will be 70 ft/s?

If v=70, then


70=80(1e0.2t)Divide 807080=(1e0.2t)Add e0.2t and subtract 7080e0.2t=178Take ln of both sides0.2t=ln(178)Solve for tt=10.40s

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