NEET Sample Paper NEET Sample Test Paper-9

  • question_answer
    The cord mates of a moving particle at any time t are given by \[X={{t}^{3}}\] and \[Y=4{{t}^{2}},\] where X and Y are in meter and t in second. The acceleration of the particle at time \[t-1s,\] is given by:

    A)  \[6m{{s}^{-2}}\]                

    B)  \[8m{{s}^{-2}}\]

    C)  \[10m{{s}^{-2}}\]                

    D)  \[14m{{s}^{-2}}\]

    Correct Answer: C

    Solution :

    Given that,     \[X={{t}^{3}},\,Y=4{{t}^{2}},Vx=3{{t}^{2}}\] and              \[{{a}_{x}}=6t\]                 (at  \[t=1s\]) \[=6m/{{s}^{2}}\] \[{{V}_{Y}}=8t,{{a}_{Y}}=8m/{{s}^{2}}\] (at  \[t=15\])                 \[a=\sqrt{a_{X}^{2}+a_{Y}^{2}}\]                 \[a=\sqrt{{{(6)}^{2}}+{{(8)}^{2}}}=10m/{{s}^{2}}\]

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