JEE Main & Advanced Physics Motion in a Straight Line / सरल रेखा में गति Question Bank Self Evaluation Test - Motion in a Strainght Line

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

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

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

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

    D) \[2hg\]

    Correct Answer: A

    Solution :

    \[h=u{{t}_{1}}-\frac{1}{2}g{{t}_{1}}^{2}\]    \[\text{Also h=u}{{\text{t}}_{2}}-\frac{1}{2}g{{t}_{2}}^{2}\] After simplify above equations, we get \[h=\frac{1}{2}g{{t}_{1}}{{t}_{2.}}\]


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