Question

Desperate, I will give a medal to whoever helps, The model for a falling object with air resistance given by dv/dt = 32.2 - kv, v(0) = 0, and the solution for v for this model is given by v(t) = (32.2/k) - (32.2/k)(e^kt). Find the value of k to three significant digits so that the model given above agrees with that it takes 2.6 seconds to reach the ground