\fSuppose 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