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NEET Sample Paper NEET Sample Test Paper-80

  • question_answer
    A body is moving according the equation \[\operatorname{a}=xt+y{{t}^{2}}-3{{t}^{3}}\], then its instantaneous speed is given by (a is displacement)

    A)  \[2y\,-3z{{t}^{2}}\]                

    B)  \[\operatorname{x}+2y-3z{{t}^{2}}\]

    C)  \[\operatorname{x}+2yt-9{{t}^{2}}\]              

    D)  None of these

    Correct Answer: C

    Solution :

    As, distance, \[\operatorname{a} =\left( xt + y{{t}^{2}}- 3{{t}^{3}} \right)\] So, instantaneous speed \[=\,\,\,\frac{d(a)}{dt}\] \[=\,\,\,\frac{d}{dt}(xt+y{{t}^{2}}-3{{t}^{3}})\] \[= \,x + 2yt - 9{{t}^{2}}\]


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