Practice taking derivatives of a position vector to calculate acceleration 1.10 * a particle moves in a circle (center o and radius r) with constant angular velocity ω counter- clockwise. the circle lies in the xy plane and the particle is on the x axis at time-0 show that the particle's position is given by r(t)r cos(wt) rsin(ot) find the particle's velocity and acceleration. what are the magnitude and direction of the acceleration? relate your results to well-known properties of uniform circular motion hint: you will want to use the fact that the vector r above points radially outward from the origin to the particle.]