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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 displayed rule gives a periodic model for the quantity

The height of a point on a rotating platform is represented by y(t). The value y(t) is measured in cm, and t is measured in seconds

\[y(t)=3\cos\left(\frac{1}{6}\pi t\right)+15\]
\[t\in\left[0,12\right]\]

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

3 marks

State the amplitude, equilibrium level and period exactly