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JEE Main & Advanced Physics Question Bank Oblique Projectile Motion

  • question_answer
    A ball is thrown from a point with a speed \[{{v}_{o}}\] at an angle of projection \[\theta \]. From the same point and at the same instant a person starts running with a constant speed \[{{v}_{o}}/2\] to catch the ball. Will the person be able to catch the ball? If yes, what should be the angle of projection           [AIEEE 2004]

    A)             Yes, \[{{60}^{o}}\]

    B)             Yes, \[{{30}^{o}}\]

    C)             No      

    D)             Yes, \[{{45}^{o}}\]

    Correct Answer: A

    Solution :

                    Person will catch the ball if its velocity will be equal to horizontal component of velocity of the ball. \[\frac{{{v}_{0}}}{2}={{v}_{0}}\cos \theta \]Þ \[\cos \theta =\frac{1}{2}\] Þ \[\theta =60{}^\circ \]


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