A hot air balloon is ascending at a constant speed of 11 m/s. When it is 10 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 reached by the package?
 
 
 
 
 

(c) How long after being released does it take the package to reach a height of 14 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).