3. Suppose a roach is at the origin (0.0) at time t=0. He moves north (north-positive y axis direction) at a speed of 2 inches/second for 2 seconds. He then moves south at the same speed (2 inches/second) for 2 seconds. Do the following: a. Plot his velocity v(t) for t=0 to t-4 seconds on the first graph below. b. Plot his speed, speed(t) = v(t), for t=0 to t=4 seconds on the second graph below. c. Determine the distance he traveled between time t=0 and t-4 seconds. Please use the back of the page to show your work and/or answer. d. Determine his displacement between t=0 and t-4 seconds. Please use the back of the page to show your work and/or answer. Graph for 3a: y Graph for 3b: 5 4 3 2 1 -3-2-1 1 2 3 4 5 -1 5 5 4 3 -5-4-3-2-1 1 1 2 3 4 5 -1 -3