2.2 Exercises Complete these calculations of uncertainty propagation and submit them for the pre-lab assignment. You must show your work in your submission. Your video analysis of the motion of a marble gives it position in frame 23 as (23, y23) = (0.134 m, 0.120 m) and its position in frame 24 as (24, 924) = (0.122 m, 0.112 m). You esti- mate that you can measure the x and y positions with uncertainty 10.003 m. The frame rate of the video is 30 frames/s, which means the time interval between frames is At = 0.033 333 s. The uncertainty of the frame rate of a video camera is VERY small. For the sake of this problem, use o(At) = 1 x 10-6 s. The mass of the marble is (2.031 + 0.001) x 10-2 kg. Calculate the following quantities: 1. The value of the velocity component Ur = Citl - Ci and its uncertainty, At 2. The value of the velocity component vy yit1 - yi and its uncertainty, At 3. The value of the velocity magnitude v = vuz + v, and its uncertainty, 4. The value of the momentum component Pr = mur and its uncertainty, 5. The value of the momentum component Py = mvy and its uncertainty, and 6. The value of the kinetic energy K = ;mul = ;m(v2 + v2) and its uncertainty. Before you submit Write up your solutions to exercises 1-6 above clearly showing your work. Be sure to express your final values with uncertainties using the guidelines in Appendix A. Circle your answers. Make a PDF file with your work and submit it on Canvas in the Investigation 3 Pre-Lab assignment