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Year 12 Methods (Unit 3 & 4) The second derivative and applications

Optimisation problems

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Questions
Question 1
10235

A stone is thrown upwards, so that any time \(t\) seconds after throwing, the height \(\text{(m)}\) reached is given by \(h = 100t - 10{t^2}\). The maximum height reached is?

A.

\(250m\)

B.

\(200m\)

C.

\(400m\)

D.

\(500m\)

\(250~\text{m}\)

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