A particle moves along a circular path in such a way that is x- and y-...

 

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A particle moves along a circular path in such a way that is x- and y- coordinates at time t are x=2cost y= 2 sint (i) Find the instantaneous velocity and speed of the particle at time t. (ii) Sketch the path of the particle, and show the position and velocity vectors at time == (iii) 4 with the velocity vector drawn so that its initial point is at the tip of the position vector. Show that at each instant the acceleration vector is perpendicular to the velocity vector. A particle moves along a circular path in such a way that is x- and y- coordinates at time t are x=2cost y= 2 sint (i) Find the instantaneous velocity and speed of the particle at time t. (ii) Sketch the path of the particle, and show the position and velocity vectors at time == (iii) 4 with the velocity vector drawn so that its initial point is at the tip of the position vector. Show that at each instant the acceleration vector is perpendicular to the velocity vector.