Two drag forces act on a bicycle and rider: FD1 due to rolling resistance, which is essentially velocity independent; and FD2 due to air resistance, which is proportional to v2. For a specific bike plus rider of total mass 74 kg , FD1≈4.0N; and for a speed of 2.2 m/s, FD2≈1.0N.

A) Show that the total drag force is FD=4.0+0.21v2,where v is in m/s, and FD is in N and opposes the motion.

B) Determine at what slope angle θthe bike and rider can coast downhill at a constant speed of 8.3 m/s