JEE Main & Advanced Physics Motion in a Straight Line / सरल रेखा में गति Question Bank Motion Under Gravity

  • question_answer
    When a ball is thrown up vertically with velocity \[{{V}_{o}}\], it reaches a maximum height of 'h'. If one wishes to triple the maximum height then the ball should be thrown with velocity                               [AIIMS 2005]            

    A)                         \[\sqrt{3}{{V}_{o}}\]            

    B)                         \[3{{V}_{o}}\]            

    C)                       \[9{{V}_{o}}\]                      

    D)                         \[3/2{{V}_{o}}\]

    Correct Answer: A

    Solution :

                    \[{{H}_{\max }}\propto {{u}^{2}}\] \\[u\propto \sqrt{{{H}_{\max }}}\]                         i.e. to triple the maximum height, ball should be thrown with velocity \[\sqrt{3}\ u\].            


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