b. The second Fundamental Theorem of Calculus 2. Suppose I'm casually strolling around 10 campus, and the graph to the right gives how position-(m)- many meters to the east of Rood Hall I am after t minutes. (15 points) a. Sketch a graph of my velocity v(t). b. On what intervals am I walking eastward? 5 c. On what intervals is my velocity 4- increasing? d. On what intervals is my speed increasing? (speed = Ivelocity)) e. Approximate my displacement on the interval [0,5]. 3 9 10 11 12 1314 time (min) 3. Suppose I'm casually strolling around campus, and the graph to the left gives my velocity after t minutes, where east is the positive direction. I start 3 meters east of campus. (18 points) velocity (m/min)- a. Sketch a graph of my position s (t). b. On what intervals am I walking towards Rood Hall? c. On what intervals is my velocity increasing? d. On what intervals is my speed increasing? e. Approximate my displacement on the interval [0,5]. f. Approximate my distance travelled on the interval [0, 5]. 3 9 10 11 12 1314 time (min)