A hot air balloon is hovering motionlessly 35 m above the ground, when 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 25 m, and what is the velocity of the package when it reaches this height?
 
 
 
 

(d) What is the maximum speed attained by the package?
 
 
 
 

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