According to Mary,how fast is the ball moving?

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In summary, Ted and Mary are playing catch in frame S', with a relative speed of 0.6c to frame S. Ted throws the ball to Mary at 0.8c, but according to Mary, the ball is moving in the opposite direction at -0.8c. The question is asking how fast the ball is moving according to Mary, and there are also questions about the time it takes for the ball to reach Mary and the distance between Ted and Mary, as seen by Jim in frame S.
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tanzl
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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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  • #2


Yes, your correct; perhaps there is a typo in the question and you were meant to determine how fast Jim sees the ball moving?
 
  • #3


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?
 

1. What does "According to Mary" mean in this context?

"According to Mary" means that the information or statement being discussed is based on Mary's perspective or observations.

2. How is the speed of the ball being measured?

The speed of the ball can be measured in various units such as meters per second (m/s), kilometers per hour (km/h), or miles per hour (mph).

3. Is Mary a reliable source for determining the speed of the ball?

As a scientist, I cannot determine the reliability of Mary's observations without more context. It is important to consider the accuracy and precision of the measurement method and the potential for human error in determining the speed of the ball.

4. Can the speed of the ball change over time?

Yes, the speed of the ball can change over time. Factors such as friction, air resistance, and external forces can affect the speed of the ball.

5. How does the speed of the ball impact its trajectory?

The speed of the ball can impact its trajectory by affecting its velocity and momentum. A higher speed can result in a longer or higher trajectory, while a lower speed can result in a shorter or lower trajectory.

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