Consider an old-fashion bicycle with a small wheel of radius 0.15 m and a large wheel of radius 0.8 m. Suppose the rider starts at rest, accelerates with a constant acceleration for 2 minutes to a velocity of magnitude 12 m/s. He maintains this velocity for 14 mintues and then decelerates, with a constant deceleration, for 4 minutes at which time he is at rest.

Question

Consider an old-fashion bicycle with a small wheel of radius 0.15 m and a large wheel of radius 0.8 m. Suppose the rider starts at rest, accelerates with a constant acceleration for 2 minutes to a velocity of magnitude 12 m/s. He maintains this velocity for 14 mintues and then decelerates, with a constant deceleration, for 4 minutes at which time he is at rest.
a) Find the total distance traveled by the rider. Give your answer in kilometers.
b)Find the total angles through which the small wheel turned during the trip.
c)Find the angular velocities of the two wheels during the constant velocity part of the trip,
d)Find the angular accelerations of the two wheels during the first two minutes.