1. The problem statement, all variables and given/known data The velocity v of a skydiver is well modeled by a differential equation: m*dv/dt = mg - k*v^2 Where m is the mass of the skydiver, g = 9.8 m/s^2 is the gravitational constant, a k is the drag coefficent determined by the position of the diver during the dive. Consider a diver of mass m = 54 kg with a drag coefficient of 0.18 kg/m. Use Euler's method to determine how long it will take the diver to reach 95% of her terminal velocity after she jumps from the plane. 2. Relevant equations Euler's method: y[k+1] = y[k] + f(t[k],y[k])*DeltaT 3. The attempt at a solution I placed the constants into the equation to get: dv/dt = (529.2 - 0.18*v^2) / 54 Then, using Euler's method with a very small delta T, I find terminal velocity to be 54.2218. This would mean that the diver reaches 95% of terminal velocity at approximately 51.5107. 1) Is this the correct way of approaching the problem? Is my terminal velocity correct? 2) From here I suppose I would just find the point where y[n] = 51.5107? If anyone can help me I would greatly appreciate it!