What is the speed of the new steamship?

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To determine the speed of the new steamship, a scientist proposes measuring the time taken for the steamship to travel from point A to point B and back, denoted as t1 and t2, respectively. The distance between points A and B is represented as S, and the angle between line AB and the steamship's direction is noted as alpha. The discussion invites participants to provide solutions, emphasizing the importance of showing work for clarity. The goal is to calculate the steamship's speed based on the provided parameters. Engaging in this problem-solving approach can foster collaborative learning and understanding of the underlying physics concepts.
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in order to find out the speed of a new steamship,a scientist comes up with a idea to slove it:He makes the steamship sail from A to B and then return to A from B(look at the image). only when the angle between the line AB and the direction of the sreamship is a,the streamship can sail though the line AB,and the time it takes is t1. and the time of coming back though BA is t2. the distance of AB is S. question:what is the speed of the new streamship?
 

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https://www.physicsforums.com/showthread.php?t=28
 

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