The coordinates of a particle which moves with curvilinear motion are given by x 10 25t 1 75t 2 0 45t 3 and y 6 32 14 65t 2 48t 2 , where x and y are in millimeters and the time t is in seconds Determine the values of u, v, a, a, e r , e , v r , v r , v , v , a r , a r , a , a , r, r, r, , , and wh...

The position vector of the particle is given by r xi yj 1025t 175t2 045t3i 632 1465t 248t2j When t 3 ...

The coordinates of a particle which moves with curvilinear motion are given by x = 10.25t +

Question:

The coordinates of a particle which moves with curvilinear motion are given by x = 10.25t + 1.75t² − 0.45t³ and y = 6.32 + 14.65t − 2.48t², where x and y are in millimeters and the time t is in seconds. Determine the values of u, v, a, a, e_r, e_θ, v_r, v_r, v_θ, v_θ, a_r, a_r, a_θ, a_θ, r, r˙, r¨, θ, θ˙, and θ¨ when t = 3.25 s. Express all vectors in terms of the unit vectors i and j. Take the r-coordinate to proceed from the origin, and take θ to be measured positive counterclockwise from the positive x-axis.