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    Question

    A particle moves along the x-axis such that its

    velocity varies with position as v(x) = kтИЪ(a2 тАУ x2) where k and a are positive constants. If the particle starts from x = 0, how much time will it take to reach x = a?
    A ╧А/k Correct Answer Incorrect Answer
    B 2k╧А Correct Answer Incorrect Answer
    C ╧Аk Correct Answer Incorrect Answer
    D ╧А/2k Correct Answer Incorrect Answer

    Solution

    We are given a position-dependent velocity :

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