RAJASTHAN PMT Rajasthan - PMT Solved Paper-2006

  • question_answer
    A ball is thrown upwards, it takes 4 s to reach back to the ground. Find its initial velocity :

    A)  \[30\,m{{s}^{-1}}\]                        

    B)  \[10\,m{{s}^{-1}}\]

    C)  \[40\,m{{s}^{-1}}\]        

    D)         \[20\,m{{s}^{-1}}\]

    Correct Answer: D

    Solution :

    Since, the ball is thrown upwards and it reaches back, so time to reach maximum height is half of total rime i.e.,\[{{t}_{\max }}=2s.\] Also speed at maximum height is zero, so                 \[0=u-g{{t}_{\max }}\] \[\Rightarrow \]               \[u=g{{t}_{\max }}=20\,\,m{{s}^{-1}}\]\[(\because g=10\,\,m{{s}^{-2}})\]


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