Velocity by time it hits the ground. By measuring the impact, you determine that this terminal velocity is -49 m/sec. A. Write the equation representing the velocity () of the object at time seconds given the initial velocity vo and the fact that acceleration due to gravity is -9.8 m/sec. (Here, assume you're modeling the falling body with the differential equation dyg-kv, and use the resulting formula for (1) found in the Tutorial. Of course, you can derive it if you'd like.) dt = B. Determine the value of k, the "continuous percentage growth rate" from the velocity equation, by utilizing the information given concerning the terminal velocity.