A trench is being dug by a team of labourers who removes V cubic metres of soil in t minutes, where V=10t-t^2/20.
a) State the logical domain of the function, i.e. the values of t during which soil is being removed.
b) At what rate is the soil is being removed at the end of 40 minutes ?
c) Are the labourers working at a constant rate? Provide a reason for your reason.
d) What is their initial rate of work ?
e) At what time they are removing soil at the rate of 5m^3 per minute ?

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\[V=10t-\frac{ t^2 }{ 20 }\]

so we get
\[\frac{ dV }{ dt }=10-\frac{ t }{ 10 }\]

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