Gliding pigeons: A gliding bird’s movement is measured in terms of the rate at which the bird’s altitude decreases, the sinking speed s, and the airspeed u. For a gliding pigeon, these are related by...

Gliding pigeons: A gliding bird’s movement is measured in terms of the rate at which the bird’s altitude decreases, the sinking speed s, and the airspeed u. For a gliding pigeon, these are related by

Here s and u are measured in meters per second.

a. Make a graph of the sinking speed s as a function of the airspeed u for values of u up to 20 meters per second.

b. At what airspeed does the smallest sinking speed occur? c. If the airspeed is very slow, does the pigeon sink quickly or slowly?