Dog vs. Cat

Now this is an awesome question.




















A cat is running in a straight line at a constant speed u.
Now a dog sees the cat when their line of separation(=d) is perpendicular to the line of motion of the cat and starts running after it at a constant speed v, such that it's always headed towards the cat.

1.) Find the total time taken by the dog to catch the cat if v = 3 m/s; u = 2 m/s; and, d = 10 m.

2.) Find the final separation between the 2 animals, if d = 10 m; and, u = v = 3 m/s.

P.S.: To check your answer at the judge, use this syntax without the inverted commas(ie, if your answer is 6.32 and 5): "6.32,5.00"

Click here, for the solution.

13 comments:

  1. Not very confident.Tried doing it without using calculas and got t=10/root(5)

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  2. t=2root(5) and final separation is 10 m.

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  3. (1). 3.33seconds

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  4. time 2root5 ni h kya??

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  5. question from 1rodov mechanics

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  6. here's the solution: http://anujkalia.blogspot.com/p/solution-to-dog-cat-problem.html
    @Shaan: u were almost there.. :)
    @Akshit: neither did anybody deny the fact, nor did anybody ask you.. so plz refrain from making such comments..

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  7. @Akshit, yes, me and shivanker got to know about it later, the question we posted was originally from a science olympiad

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  8. thanks for the soln.got my mistake

    very good question.....

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  9. This comment has been removed by the author.

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