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**Unformatted text preview: **. 2 2 a g x-= = The cowboys position is . ) 2 ( 2 c t g t v x x-+ = Finding the time at which the cowboy and the saddle are again in contact involves a transcendental equation which must be solved numerically; specifically, rad), 11 . 1 s) rad 42 . 9 (( cos m) 25 . ( ) s m 90 . 4 ( s) m 11 . 2 ( m) 110 . ( 2 2-=-+ t t t which has as its least non-zero solution s. 538 . = t e) The speed of the saddle is , s m 72 . 1 ) ( sin s) m 36 . 2 ( = +-t and the cowboys speed is (2.11 ) s m 80 . 9 ( ) s m 2-s, m 16 . 3 s) 538 . (-= giving a relative speed of s m 87 . 4 (extra figures were kept in the intermediate calculations)....

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