JEE Main & Advanced Sample Paper JEE Main Sample Paper-43

  • question_answer
    A body is projected vertically upwards. If \[{{t}_{1}}\] and \[{{t}_{2}}\] be the instants at which it is at a height h above the point of projection, while ascending and descending respectively, then

    A)  \[h=g{{t}_{1}}{{t}_{2}}\]             

    B) \[h=2g{{t}_{1}}{{t}_{2}}\]

    C)  \[h=\frac{1}{2}\,g{{t}_{1}}{{t}_{2}}\]                

    D)  \[h=\frac{1}{4}g{{t}_{1}}{{t}_{2}}\]

    Correct Answer: C

    Solution :

     Taking downward direction as positive, we get \[\therefore \]                ?(i) \[f\]                   ?(ii)             From Eqs. (i) and (ii), we get \[|M|=\alpha \] \[{{M}^{-1}}adjM)=kI\]                              ?(iii) Substituting value of u from Eq. (iii) in Eq. (i), we get \[\Rightarrow \]

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