QUESTION $5$

LEARNING OUTCOME $1$

The distance $d$ meters below the surface of a point on a mooring chain may be calculated approximately from the formula $d=D(1-e^{-kx})$ where $D$ is the total depth, $x$ the horizontal surface distance and $k$ is constant.

$5\mathrm{.}1$ Rearrange the formula to make $x$ the subject.

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$q,5\mathrm{.}2$ If $D=400cm,$ and $k=0\mathrm{.}03m^{-1},$ find the horizontal surface distance for a point $.$on the chain to be $60$ cm down. $q,$

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