A box proceeds along the x-axis and the figure below shows a record of its velocity as a function of time. Every gridline along the vertical axis corresponds to 3.00 m/s and each gridline along the horizontal axis corresponds to 4.00 s. (Enter your answers in m/s2. Indicate the direction with the signs of your answers. Note that t = 0 at the intersection of the axes.) (a) Determine the average acceleration of the box in the time interval t = 0 to t = 20.0 s (b) Determine the average acceleration of the box in the time interval t = 20.0 s to t = 60.0 s (c) Determine the average acceleration of the box in the time interval t = 0 to t = 80.0 s

5submission this assignment is worth 20 points total. you are required to submit the following by next lab: 1. (3 points) determine the equation for the output angular velocity ω2 = θ˙ 2 as a function of θ1, ω1 = θ˙ 1 and α. you must show all your work to receive credit. 2. (2 points) use the result of problem#1 to plot ω2 over 0 ≤ θ1 ≤ 360deg with ω1 = 360deg/sec. do this for α = {10,30}deg. show the results on the same plot and properly label the axes, title, legend. for this you can use matlab or ms excel. 3. (3 points) determine the equation for the output angular acceleration ω˙ 2 and create a plot similar to the one in problem#2. 4. (10 points) submit plots of the results (ω2 and ω˙ 2) obtained from creo/mechanism and compare them to results of problem#2 and problem#3. note that you should do these comparisons for the two cases with α = {10,30}deg. 5. (2 points) provide a brief explanation of the results. did they match? what are the implications as misalignment angle increases?