A particle is moving counterclockwise around the circle x^2+y^2=9 A at constant speed, making one revolution in 2 seconds. At t = 0, the particle is at the point (0, 3). Find position vector r(t) of this motion when t ∈ R. Find also velocity, v(t), and acceleration, a(t), of this motion.

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A particle is moving counterclockwise around the circle x^2+y^2=9 A at constant speed, making one revolution in 2 seconds. At t = 0, the particle is at the point (0, 3). Find position vector r(t) of this motion when t ∈ R. Find also velocity, v(t), and acceleration, a(t), of this motion. 1b) Let C be a curve in space with velocity v(t) and acceleration a(t). Assume that a(t)=[0, cost, sin2t] and v(0)=[1/2, 0, 0]. Find arclength of C for 0
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