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

  • question_answer
    A stone thrown vertically upwards rises ?s? metre in t seconds, where \[s=80t-16{{t}^{2}}\], then the velocity after 2 seconds is  [SCRA 1996]

    A)            8 m per sec

    B)            16 m per sec

    C)            32 m per sec

    D)            64 m per sec

    Correct Answer: B

    Solution :

               \[s=80-16{{t}^{2}}\],  \[\frac{ds}{dt}=v=80-32t\]                    \[{{(v)}_{t=2}}=80-64=16m/sec\].


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