1. The problem statement, all variables and given/known data A hot air balloon ascending at a rate of 10m/s drops a package when the balloon reaches a height of 73 m. Find time to ground. Find velocity when package hits ground. The balloon and package, in this case, can be treated as a point particles and as such can be manipluated with genral kinematics equations. I apologize for my inability to display mathematical symbols when creating equations.... 2. Relevant equations X = X(initial) + V(initial)t + 1/2at^2 V(final)^2 = V(initial)^2 + at 3. The attempt at a solution I simply used the quadratic formula with the first equation to solve for t because the equation is already in terms of t. This produced: -10(+-)sq.rt(100+1460) / -10 where: X=0 X(initial)=73 V(initial)= 10m/s a= -10m/s I chose the negative value of b^2 - 4ac to produce: t = -49.49/-10 = 4.949s Secondly, I used this time in the V(final) = V(initial) + at equation: V(final) = 10 + (-10*4.949) = -39.49m/s Am I thinking about this scenario correctly enough so that I am using the appropriate equations?? The answers, I am told, are incorrect.