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1 of 8 0-day streak

Sinusoidal models and their rates of change

DIFFICULTYintrostandardchallengeexam
QUESTION TYPEMix of allChange
tidal-height, sine, increasing, 1 cyclestidal-height, sine, increasing, 2 cyclestidal-height, sine, decreasing, 1 cyclestidal-height, sine, decreasing, 2 cyclestidal-height, cosine, increasing, 1 cyclestidal-height, cosine, increasing, 2 cyclestidal-height, cosine, decreasing, 1 cyclestidal-height, cosine, decreasing, 2 cyclesspring-displacement, sine, increasing, 1 cyclesspring-displacement, sine, increasing, 2 cyclesspring-displacement, sine, decreasing, 1 cyclesspring-displacement, sine, decreasing, 2 cyclesspring-displacement, cosine, increasing, 1 cyclesspring-displacement, cosine, increasing, 2 cyclesspring-displacement, cosine, decreasing, 1 cyclesspring-displacement, cosine, decreasing, 2 cyclesdaily-temperature, sine, increasing, 1 cyclesdaily-temperature, sine, increasing, 2 cyclesdaily-temperature, sine, decreasing, 1 cyclesdaily-temperature, sine, decreasing, 2 cyclesdaily-temperature, cosine, increasing, 1 cyclesdaily-temperature, cosine, increasing, 2 cyclesdaily-temperature, cosine, decreasing, 1 cyclesdaily-temperature, cosine, decreasing, 2 cyclesrotating-wheel-height, sine, increasing, 1 cyclesrotating-wheel-height, sine, increasing, 2 cyclesrotating-wheel-height, sine, decreasing, 1 cyclesrotating-wheel-height, sine, decreasing, 2 cyclesrotating-wheel-height, cosine, increasing, 1 cyclesrotating-wheel-height, cosine, increasing, 2 cyclesrotating-wheel-height, cosine, decreasing, 1 cyclesrotating-wheel-height, cosine, decreasing, 2 cyclesNOWMix of allRecommended
Question 1 of 8

Calculator allowed

The quantity is modelled by a periodic function

The tidal height recorded by a water-level sensor is represented by y(t). The value y(t) is measured in m, and t is measured in hours

\[y(t)=\sin\left(\frac{4}{25}\pi t\right)+5\]
\[t\in\left[0,25\right]\]

Read the amplitude, equilibrium level and period from the displayed rule

3 marks

State the amplitude, equilibrium level and period exactly