JEE Main & Advanced Sample Paper JEE Main - Mock Test - 28

  • question_answer
    A balloon is at a height of 81m and is ascending upwards with a velocity of 12 m/s. A body of 2 kg weight is dropped from it. If \[\operatorname{g}=10 m/{{s}^{2}}\], the body will reach the surface of the earth in

    A) 1.5 s                

    B) 4.025 s

    C) 5.4 s                

    D) 6.75 s

    Correct Answer: C

    Solution :

    \[\operatorname{h}=ut+\frac{1}{2}\,g{{t}^{2}}\] \[\Rightarrow \,\,\,-81+0.5\times 10\times {{t}^{2}}\,\,\Rightarrow \,\,5.4\,sec\] \[\operatorname{Acceleration} = \frac{dv}{dt} = \frac{(60-20)}{0.25} = 160\,\,km/ {{h}^{2}}\]


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