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Logarithmic Functions
0. Functions / Logarithmic Functions / Problem 4
Problem 4

A drone with a mass of 1.5 kg1.5 \(\text{ kg}\) descends vertically with air resistance proportional to the square of its velocity (k=0.05k = 0.05). The distance it descends (in meters) after tt seconds is given by s(t)=mkln(cosh(kgmt))s\(\left\)(t\(\right\))=\(\frac{m}{k}\]\ln\[\left\)(\(\cosh\]\left\)(\(\sqrt{\frac{k g}{m}\)}t\(\right\))\(\right\)). How far does the drone descend in 66 seconds? Use g=9.8 m/s2g=9.8\(\text{ m/s}\)^2. Round the answer to one decimal place.