Posted by Kristen on Sunday, September 9, 2007 at 9:44pm.
A hot air balloon is ascending at the rate of 13 m/s and is 75 m above the ground when a package is dropped over the side. How long does the package take to reach the ground? With what speed does it hit the ground?

physics  bobpursley, Sunday, September 9, 2007 at 10:20pm
Vf^2=Vi^2+ 2gd where g=9.8 and d=75
How long?
Vf=Vi+at solve for t (remember Vf will be negative)

physics  drwls, Sunday, September 9, 2007 at 10:38pm
The height of the package vs. time is
y = 75 + 13 t  4.9 t^2
Set y=0 and solve for t. Use the quadratic equation and take the solution for which t>0.
For the speed when it hits the ground, use the time t from the first step and
V = 13  9.8 t
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