4 3 2 1 0 2 = dt 2. A particle moving in the xy-plane has position (x (t), y(t)) at time t > 0, where do te = cos (t2) a

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4 3 2 1 0 2 Dt 2 A Particle Moving In The Xy Plane Has Position X T Y T At Time T 0 Where Do Te Cos T2 A 1 (60.66 KiB) Viewed 28 times

4 3 2 1 0 2 = dt 2. A particle moving in the xy-plane has position (x (t), y(t)) at time t > 0, where do te = cos (t2) and = et sin (t2). At time t= 0, the particle is at the position (1,2). The figure above shows the path of the particle for Osts 2 a) Find the position of the particle at time t = 2 b) Find the slope of the line tangent to the particle's path at time t = 2 c) Find the speed of the particle at time t = 2. Find the acceleration vector of the particle at time t = 2 d) Consider a rectangle with vertices at points (0,0), (x(t), y(t)), and (0, y(t)) at timet 20. For Osts 2, at what time t is the perimeter of the rectangle a maximum? Justify your answer.