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JCECE Medical JCECE Medical Solved Paper-2008

  • question_answer
    A ball is thrown from a point with a speed \[{{\text{v}}_{\text{0}}}\]at an angle of projection \[\theta .\]From the same point and at the same instant, a person starts running with a constant speed \[\frac{{{v}_{0}}}{2}\]to catch the ball. Will the person be able to catch the ball? If yes, what should be the angle of projection?

    A)  Yes,\[{{60}^{o}}\]         

    B)  Yes, \[{{30}^{o}}\]

    C)  No              

    D)  Yes, \[{{45}^{o}}\]

    Correct Answer: A

    Solution :

     Man will catch the ball if the horizontal component of velocity becomes equal to the constant speed of man ie, \[{{v}_{0}}\cos \theta =\frac{{{v}_{0}}}{2}\] \[\Rightarrow \] \[\cos \theta =\frac{1}{2}\] \[\Rightarrow \] \[\cos \theta =\cos {{60}^{o}}\] \[\therefore \] \[\theta ={{60}^{o}}\]


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