Problem 5 A particle starts at (x0 = 4 m, y0 = 5m), has an initial speed of 3 m/s in the positive x-direction, and has a time-dependent acceleration of (am; = 1 m/s2 , ay = 6t III/S3) . Give answers to 3 signicant gures. A. Find the displacement vector of the particle after 5 seconds. Note that the usual kinematic equations can only be used if the acceleration is constant. In this case the acceleration is not constant in the y direction. (Hint: Find the area under the velocity vector to obtain the displacement. integrate the acceleration over time to nd the velocity as a function of time.) x coordinate of displacement = m, y coordinate of displacement = B. What is the position vector after 5 seconds relative to the origin? x= m,y= m