A hot air balloon is ascending at a constant speed
of 5 m/s. When it is 12 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 3 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).