Meriam, Kraige & Bolton — Kinematics of Particles: Problem 2_49

2/49 At time \( t = 0 \), a particle is at rest in the \( x \)-\( y \) plane at the coordinates \( (x_0, y_0) = (6, 0) \) in. If the particle is then subjected to the acceleration components \( a_x = 0.5 - 0.35t \) in./sec\(^2\) and \( a_y = 0.15t - 0.02t^2 \) in./sec\(^2\), determine the coordinates of the particle position when \( t = 6 \) sec. Plot the path of the particle during this time period.