A point travels counterclockwise on a circle, which has a radius ot2 m. The point travels at a constant speed of 5 m/s' ms The initial position of the point is (2, 0) Produce a sinusoidal function, which describes the xacoordinate of the circle, as a function of time. Tip: The general form is f(t) = a sin(kt), while a small tweak may be necessary k = 2T", T is the period, the time required to complete each cycle Use your function in (a) to determine just one time, when the horizontal velocity of the point reach exactly 8 m/s to the right, between t = O and t = 3 seconds, to two decimal places, (If it is impossible, explain why not.) Sketch the circle and mark the point described by your answer in the previous questiontSketch 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)