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 10.6 m/s along a straight line and the vertical distance between the limb and the level of the saddle is 3.07 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.) (b) The director also asks you for advice on how much padding to put on the saddle so that the cowboy is not injured. (Assume the cowboy's flesh is compressed 3.0 cm against the saddle before coming to rest.) O The amount of padding necessary to avoid injury would be too thick for the director to hide from the film's audience. O The cowboy would avoid injury if the director adds at least 3.0 cm of padding to the saddle. O The cowboy would avoid injury if the director adds at least 39.6 cm of padding to the saddle. O No additional padding is necessary and the cowboy's body would withstand the landing without injury.

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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 10.6 m/s along a straight line and the vertical distance between the limb and the level of the saddle is 3.07 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.)
(b) The director also asks you for advice on how much padding to put on the saddle so that the cowboy is not injured. (Assume the cowboy's flesh is compressed 3.0 cm against the saddle before coming to rest.)
O The amount of padding necessary to avoid injury would be too thick for the director to hide from the film's audience.
O The cowboy would avoid injury if the director adds at least 3.0 cm of padding to the saddle.
O The cowboy would avoid injury if the director adds at least 39.6 cm of padding to the saddle.
O No additional padding is necessary and the cowboy's body would withstand the landing without injury.
Transcribed Image Text: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 10.6 m/s along a straight line and the vertical distance between the limb and the level of the saddle is 3.07 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.) (b) The director also asks you for advice on how much padding to put on the saddle so that the cowboy is not injured. (Assume the cowboy's flesh is compressed 3.0 cm against the saddle before coming to rest.) O The amount of padding necessary to avoid injury would be too thick for the director to hide from the film's audience. O The cowboy would avoid injury if the director adds at least 3.0 cm of padding to the saddle. O The cowboy would avoid injury if the director adds at least 39.6 cm of padding to the saddle. O No additional padding is necessary and the cowboy's body would withstand the landing without injury.
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