Question 1

Paper 2, calculatorEasy5 marks

A simplified model for the water depth at a harbour is

h(t)=2.4+1.6sin⁡(π6(t−2)),h(t)=2.4+1.6\sin\left(\frac{\pi}{6}(t-2)\right),

where hh is measured in metres and tt is the number of hours after midnight.

(a)

State the amplitude and the midline height of the model.

[2]
(b)

Determine the period of the model.

[1]
(c)

Calculate the water depth at t=5t=5

[2]

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