JEE Main & Advanced Physics Motion in a Straight Line / सरल रेखा में गति Question Bank Non-uniform Motion

  • question_answer
    The displacement of a particle is given by \[y=a+bt+c{{t}^{2}}-d{{t}^{4}}\].  The initial velocity and acceleration are respectively         [CPMT 1999, 2003]

    A)             \[b,\,-4d\]        

    B)             \[-b,\,2c\]

    C)             \[b,\,2c\]          

    D)             \[2c,\,-4d\]

    Correct Answer: C

    Solution :

                    \[y=a+bt+c{{t}^{2}}-d{{t}^{4}}\]             \[\therefore \ v=\frac{dy}{dt}=b+2ct-4d{{t}^{3}}\] and \[a=\frac{dv}{dt}=2c-12d{{t}^{2}}\]             Hence, at t = 0, vinitial = b and ainitial = 2c.


You need to login to perform this action.
You will be redirected in 3 sec spinner