1. The problem statement, all variables and given/known data A skydiver jumps out of an airplane.... Height = 1200m Mass = 75kg Acceleration = 9.80 m/s/s Force of air resistance is proportional to the velocity w/ k1 = 14 kg/s without chute and with k2 = 160 kg/s with chute The chute is deployed instantaneously. The skydiver can land safely if the impact velocity is below 5.2m/s. When is the last possible moment the skydiver can pull the ripcord and land safely? 2. Relevant equations m (dv/dt) = -mg - rv v(t) = Ce^(/rt/m) - mg/r x(t) = (-mC/r)e^(-rt/m) - mgt/r + A In the above C and A are constants of integration. 3. The attempt at a solution Well I have gotten the following set of equations: Without Chute v(t) = 52.5e^(-14t/75)-52.5 x(t) = -281.25e^(-14t/75) -52.5t + 1481.25 With Chute v(t) = (147/32)e^(-32t/15) -147/32 x(t) = -2.1533e^(-2.133t) - 4.594t + 1202.15 Both sets of equations make sense and follow what I would intuitively think would happen. I am having a problem with figuring out how to connect the two in a manner that allows me to figure out the last possible moment. I am not sure where to go beyond that point. I thought that if I plugged in that 5.2 for the terminal velocity I could figure something out, but I can't figure out how to get a t value from that. Thanks for your help.