The position x of a particle with respect to time t along X-axis is given by x = 9t2 – t3 where x is in metre and t in second. What will be the position of this particle when it achieves maximum speed along the + X direction? 

The position x of a particle with respect to time t along X-axis is given by x = 9t2  t3 where x is in metre and t in second. What will be the position of this particle when it achieves maximum speed along the + X direction?
 

  1. A

    32 m

  2. B

    54 m

  3. C

    81 m

  4. D

    24 m

    Fill Out the Form for Expert Academic Guidance!l



    +91



    Live ClassesBooksTest SeriesSelf Learning



    Verify OTP Code (required)

    I agree to the terms and conditions and privacy policy.

    Solution:

    x=9t2-t3
    v=dxdt=18t-3t2
    a=dvdt=18-6t
    When   a=0,v=maximum 18=6t;   t=3sec
    x=9×32-33=81-27=54m

    Chat on WhatsApp Call Infinity Learn