The rectangular coordinates of a particle which moves with curvilinear motion are given by x = 9.75t + 2.00t² - 0.30t3 and y = 5.73 + 27.56t-3.31t², where x and y are in millimeters and the time t is in seconds, beginning from t = 0. Determine the velocity v and acceleration a of the particle when t = 7 s. Also, determine the first time that the velocity of the particle makes an angle of 38° with the positive x-axis. Answers: V = a = t = ( i i i i+ i i+ i S j) mm/s j) mm/s²

The rectangular coordinates of a particle which moves with curvilinear motion are given by x = 9.75t + 2.00t² - 0.30t3 and y = 5.73 + 27.56t-3.31t², where x and y are in millimeters and the time t is in seconds, beginning from t = 0. Determine the velocity v and acceleration a of the particle when t = 7 s. Also, determine the first time that the velocity of the particle makes an angle of 38° with the positive x-axis. Answers: V = a = t = ( i i i i+ i i+ i S j) mm/s j) mm/s²