Question: A point travels counterclockwise on a circle, which has a radius of 2 m. The point travels at a constant speed of 5 mls. m.

 A point travels counterclockwise on a circle, which has a radius

of 2 m. The point travels at a constant speed of 5

A point travels counterclockwise on a circle, which has a radius of 2 m. The point travels at a constant speed of 5 mls. m. The initial position of the point is (2, 0). o Produce a sinusoidal function, which describes the X-coordinate of the circle, as a function of time. Tip: The general form is t) 2 a sin(kt), while a small tweak may be necessary. k = 2;, T is the period, the time required to complete each cycle. 0 Use yourtunction in (a) to determine just one time, when the horizontal velocity of the point reach exactly 8 mls to the right, between t = 0 and t = 3 seconds, to two decimal places, (hc it is impossible, explain why not.) 0 Sketch the circle and mark the point described by your answer in the previous question.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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