(Solved): You are working in the movie industry. The director of a western film has come up with an impressi ...

You are working in the movie industry. The director of a western film has come up with an impressive stunt and has asked you to assist with its setup. A cowboy sitting on a tree limb is to drop vertically from rest onto his galloping horse as it passes under the limb. The horse gallops at a constant rate of \( 12.0 \mathrm{~m} / \mathrm{s} \) along a straight line and the vertical distance between the limb and the level of the saddle is \( 2.92 \mathrm{~m} \). (Define the point at which the cowboy's bottom and the saddle meet as \( (x, y)=(0,0) .) \) (a) You must advise the director as to the position of the horse along the line of its travel when the cowboy should begin his drop. What advice do you provide the director? (Give the magnitude of your answer in m.) Might there be a square root you forgot? \( \mathrm{m} \)