5. A hot air balloon is rising at a constant rate of 10 m/s. When the balloon reaches an altitude of 100 m, a sand bag is dropped from the balloon A) How ;ong is the sand bag airborn? B) With what velocity does the sandbag hit the ground? C) Sketch

 

 sandbag

vo = 10 m/s
a = -9.8 m/s/s
x = -100m

 Note 1
For most problems, a dropped object means v = 0. In this problem the platform is moving upward at 10m/s.

Note 2
This solution involves the use uf the quadratic formula. While you may find its use tedious, it rremains a very useful tool in your problem solving bag of tricks,

 
 The positive root is extraneous here. The negative root is correct

 
 Note that the sand bag rises for a short pereiod before descending  
 Note that the sand bag rises for a short pereiod before descending  
   
   this page created 08/24/06