NEET Sample Paper NEET Sample Test Paper-14

  • question_answer 8) A particle leaves the origin with an initial velocity\[\vec{v}=3\hat{i}\,m/s\]and a constant acceleration \[\vec{a}=(\hat{i}0.5\hat{j})\,m/{{s}^{2}}\]When the particle reaches its maximum\[x-\]coordinate, what is its \[y-\]component of velocity?

    A) \[~-2.0\text{ }m/s\]                

    B) \[-1.0\text{ }m/s\]

    C) \[-1.5\text{ }m/s\]                   

    D) \[~1.0\text{ }m/s\]

    Correct Answer: C

    Solution :

    The \[x-\]component of velocity \[{{v}_{x}}={{v}_{ax}}+{{a}_{x}}t=3-t\,m/s.\] The y- component is \[{{v}_{y}}={{v}_{ay}}+{{a}_{y}}t=-0.5t\frac{m}{s},\]when the particle reaches its maximum\[x-\]coordinate, \[{{v}_{x}}=0,\]or \[t=3\sec .\] The\[y-\]component of the velocity at this time is \[{{v}_{y}}=-0.5\times 3=-1.5\,m/s\] Hence, the correction option is [c].

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