v(t)=80(1−e−0.2t) 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(1−e−0.2t)Divide 807080=(1−e−0.2t)Add e−0.2t and subtract 7080e−0.2t=1−78Take ln of both sides−0.2t=ln(1−78)Solve for tt=10.40s
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