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JEE Main & Advanced Mathematics Applications of Derivatives Question Bank Application in Mechanics and Rate Measurer

  • question_answer
     A point moves in a straight line during the time \[t=0\] to \[t=3\]according to the law \[s=15t-2{{t}^{2}}\]. The average velocity is [MP PET 1992]

    A)            3

    B)            9

    C)            15

    D)            27

    Correct Answer: B

    Solution :

               Motion of a particle \[s=15t-2{{t}^{2}}\]            Therefore, velocity \[\frac{ds}{dt}=15-4t\]            Þ  \[{{\left( \frac{ds}{dt} \right)}_{t=0}}=15\]and \[{{\left( \frac{ds}{dt} \right)}_{t=3}}=3\]                    Therefore, average \[=\frac{15+3}{2}=9\].


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