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At the Canadian National Exhibition there is a swing ride that can be modelled by the function s(t) = 5 cos(4t) x 0.85¹, where s is the horizontal displacement from the rest position in metres, as a function of time, t, in seconds. 10115 onul stied a) What was the initial horizontal displacement of the swing? b) Sketch how the shape of the graph would change if i) the air resistance were reduced ii) the length of the swing were lengthened. Justify your answers with mathematical onreasoning.

At the Canadian National Exhibition there is a swing ride that can be modelled by the function s(t) = 5 cos(4t) x 0.85¹, where s is the horizontal displacement from the rest position in metres, as a function of time, t, in seconds. 10115 onul stied a) What was the initial horizontal displacement of the swing? b) Sketch how the shape of the graph would change if i) the air resistance were reduced ii) the length of the swing were lengthened. Justify your answers with mathematical onreasoning.

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n 11, At the Canadian National Exhibition there is a swing ride that can be modelled by the function s(t) = 5 cos(4t) X 0.85¹, where s is the horizontal displacement from the rest position in metres, as a function of time, t, in seconds. ANTOLORU a) What was the initial horizontal displacement of the swing? า b) Sketch how the shape of the graph would change if i) the air resistance were reduced ii) the length of the swing were lengthened. Justify your answers with mathematical reasoning.
Transcribed Image Text:n 11, At the Canadian National Exhibition there is a swing ride that can be modelled by the function s(t) = 5 cos(4t) X 0.85¹, where s is the horizontal displacement from the rest position in metres, as a function of time, t, in seconds. ANTOLORU a) What was the initial horizontal displacement of the swing? า b) Sketch how the shape of the graph would change if i) the air resistance were reduced ii) the length of the swing were lengthened. Justify your answers with mathematical reasoning.
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