(Solution) - Ted and Mary are playing a game -(2025 Original AI-Free Solution)

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Ted and Mary are playing a game of catch in frame S", which is moving at 0.600c with respect to frame S, while Jim, at rest in frame S watches the action (Fig. P39.59). Ted throws the ball to Mary at 0.800c (according to Ted) and their separation (measured in S") is 1.80 x 1012 m.
(a) According to Mary, how fast is the ball moving?
(b) According to Mary, how long does it take the ball to reach her?
(c) According to Jim, how far apart are Ted and Mary, and how fast is the ball moving?
(d) According to Jim, how long does it take the ball to reach Mary?