A hot air balloon is descending at a constant speed of 5 m/s. When it is 22 m above the ground, a care package is released from the balloon.
(a) Specify the position and velocity functions for the motion of the package.

 (b) What is the maximum height of the package after it is released? Explain your answer.
 
 
 
 
 

(c) How long after being released does it take the package to reach a height of 10 m, and what is the velocity of the package when it reaches this height?
 
 
 
 

(d) How long after being released does it take the package to hit the ground, and what is the velocity of the package just before it hits the ground?
 
 
 
 

(e) Label the following Position vs Time graph with all the information found in (b), (c), and (d).