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 11.6 m/s along a straight line and the vertical distance between the limb and the level of the saddle is 2.82 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.) m

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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 11.6 m/s along a
straight line and the vertical distance between the limb and the level of the saddle is 2.82 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.)
The cowboy would avoid injury if the director adds at least 37.m of
No additional padding is necessary and the cowboy's body would
The cowboy would avoid injury if the director adds at least 3
The amount of padding necessary to avoid injury would
thick
to the saddle.
and the landing without injury.
dding to the saddle.
director to hide from the film's audience.
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 11.6 m/s along a straight line and the vertical distance between the limb and the level of the saddle is 2.82 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.) The cowboy would avoid injury if the director adds at least 37.m of No additional padding is necessary and the cowboy's body would The cowboy would avoid injury if the director adds at least 3 The amount of padding necessary to avoid injury would thick to the saddle. and the landing without injury. dding to the saddle. director to hide from the film's audience.
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