Solve the all parts of given question:
Question: A daring ranch hand sitting on a tree limb wishes to drop vertically onto a horse galloping under the tree. The constant speed of the horse is 14.5 m/s, and the distance from the limb to the level of the saddle is 3.02 m.
Part A: What must be the horizontal distance between the saddle and limb when the ranch hand makes his move? in meters
Part B: For what time interval is he in the air?
Please show clear work for points. Thanks!