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Question 1 of 8

Calculator allowed

A model for a programmed drone flight uses \(t\) for time after the start. The model output is height, measured in metres

\[y=-\frac{1}{4}(t-3)^2 + 15\]

The meaningful domain is \(0\le t\le 5\), where t is measured in seconds

The output level \(\frac{51}{4}\) metres is used for the threshold question

(a)2 marks

State the exact coordinates of the turn, with the input first

(b)1 mark

Select the correct maximum-or-minimum description of the turn

(c)1 mark

Where does the greatest allowed height occur?

(d)1 mark

Give the relevant input that reaches \(\frac{51}{4}\) metres as an exact value