A bicyclist is pedaling along a straight north-south road for one hour with a velocity, v(t), shown in the graph below. From her starting point, positive velocities indicate northward movement and negative velocities indicate southward movement. Note: pay attention to the units of the graph! v (km/hr) t(minutes) 10 20 30 40 50 60 -10 -20 -25 a) Write the integral that represents the bicyclists final position after one hour. b) Estimate the value of the integral from part (a). Be clear with your method. c) Write the integral that represents the total distance traveled by the bicyclist. d) Estimate the value of the integral from part (c). Be clear with your method