According to Mary,how fast is the ball moving?

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SUMMARY

The discussion revolves around a physics problem involving relativistic speeds, specifically how fast a ball is moving according to Mary, who is in a moving frame S' at 0.600c. Ted throws the ball at 0.800c relative to himself. The confusion arises from the relativistic addition of velocities, which must be applied to determine the speed of the ball as observed by Mary. The correct approach involves using the formula for relativistic velocity addition to find the ball's speed in Mary's frame.

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Homework Statement


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. Ted throws the ball to Mary at 0.800c (according to Ted) and their separation (measured in S') is 1.8*1012m.
According to Mary,how fast is the ball moving?

The Attempt at a Solution


I am confused by this question. Ted and Mary are moving at the same speed (0.6c relative to rest frame), so whatever observed by Ted should be consistent with Mary right? Since Ted observes that the ball is moving at 0.8c so Mary should observes that the ball is moving to her direction at -0.8c.
 
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Yes, your correct; perhaps there is a typo in the question and you were meant to determine how fast Jim sees the ball moving?
 


Actually there are four parts in the question
(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?
 

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