A steamroller has a spot of paint on its roller. As the steamroller moves, the spot rotates around the axle. The roller has radius 1 metre and completes one full revolution every 2 seconds. a What does the graph of the spot's height over time look like? Assume that the spot is initially in the position shown. b Construct a cosine model to describe the height of the paint spot over time. c Use your model to predict the height of the spot after 3.6 seconds. axle paint spot

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A steamroller has a spot of paint on its roller. As the
steamroller moves, the spot rotates around the axle.
The roller has radius 1 metre and completes one full
revolution every 2 seconds.
a What does the graph of the spot's height over
time look like? Assume that the spot is initially
in the position shown.
b
Construct a cosine model to describe the height
of the paint spot over time.
c Use your model to predict the height of the spot after 3.6 seconds.
axle
paint
spot
Transcribed Image Text:A steamroller has a spot of paint on its roller. As the steamroller moves, the spot rotates around the axle. The roller has radius 1 metre and completes one full revolution every 2 seconds. a What does the graph of the spot's height over time look like? Assume that the spot is initially in the position shown. b Construct a cosine model to describe the height of the paint spot over time. c Use your model to predict the height of the spot after 3.6 seconds. axle paint spot
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