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Your job is to make a question like this and solve it! A point travels counterclockwise on a circle, which has a radius of 5

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Your job is to make a question like this and solve it! A point travels counterclockwise on a circle, which has a radius of 5 m. The point travels at a constant speed of 2 mls. The initial position of the point is (5, 0). (a) Produce a sinusoidal function, which describes the X-coordinate of the circle, as a function of time. Tip: The general form is f(t) = a: SinUct), while a small tweak may be necessary. it = 27\" T is the period, the time required to complete each cycle. (b) Use your function in (a) to determine just one time, when the horizontal velocity of the point reaches exactly 9 mls to the right, between t = 0 and t = 1 seconds, to two decimal places, (If it is impossible, explain why not.) (c) Digitally or manually sketch the circle and mark the point described by your answer in (b). Sketch its X-directional and y-direction velocity vector. Also sketch the combined vector, which should be tangent to the circle at that point. Do not put scales on the graph (rough estimate is fine)

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