Home
Class 12
MATHS
The distances moved by a particle in tim...

The distances moved by a particle in time t seconds is given by `s=t^(3)-6t^(2)-15t+12`. The velocity of the particle when acceleration becomes zero, is

A

15

B

`-27`

C

`6//5`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DERIVATIVE AS A RATE MEASURER

    OBJECTIVE RD SHARMA|Exercise Section I - Solved Mcqs|27 Videos
  • DEFINITE INTEGRALS

    OBJECTIVE RD SHARMA|Exercise Chapter Test 2|60 Videos
  • DIFFERENTIAL EQUATIONS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|30 Videos

Similar Questions

Explore conceptually related problems

If the distance s metre traversed by a particle in t seconds is given by s=t^(3)-3t^(2) , then the velocity of the particle when the acceleration is zero, in metre/second is

For a particle moving in a straight line, the displacement of the particle at time t is given by S=t^(3)-6t^(2) +3t+7 What is the velocity of the particle when its acceleration is zero?

The distance travelled s in metres by a particle in t second is given by s=t^(3)+2t^(2)+t . The speed of the particle after 1s will be

The displacement of a particle along an axis is described by equation x = t^(3) - 6t^(2) + 12t + 1 . The velocity of particle when acceleration is zero, is

The distance moved by the particle in time t is given by x=t^(3)-12t^(2)+6t+8 . At the instant when its acceleration is zero, the velocity, is

A particle moves along x-axis and its displacement at any time is given by x(t) = 2t^(3) -3t^(2) + 4t in SI units. The velocity of the particle when its acceleration is zero is

OBJECTIVE RD SHARMA-DERIVATIVE AS A RATE MEASURER -Exercise
  1. If the semivertical angle of a cone is 45^@. Then the rate of change o...

    Text Solution

    |

  2. On the curve x^3=12 y , find the interval of values of x for which the...

    Text Solution

    |

  3. If the rate of change of area of a square plate is equal to that of th...

    Text Solution

    |

  4. A stone dropped into a quiet lake. If the waves moves in circles at th...

    Text Solution

    |

  5. The side of a square is equal to the diameter of a circle. If the side...

    Text Solution

    |

  6. A variable DeltaABC is inscribed in a circle of diameter x units. At a...

    Text Solution

    |

  7. The radius and height of a cylinder are equal. If the radius of the sp...

    Text Solution

    |

  8. The points on the curve 12y = x^(3) whose ordinate and abscissa change...

    Text Solution

    |

  9. A particle moves along the parabola y^2=2ax in such a way that its pro...

    Text Solution

    |

  10. The diameter of a circle is increasing at the rate of 1 cm/sec. When i...

    Text Solution

    |

  11. A man 2 metres tall walks away from a lamp post 5 metres height at the...

    Text Solution

    |

  12. At an instant the diagonal of a square is increasing at the rate of 0...

    Text Solution

    |

  13. If s=ae^(l) + be^(-t) is the equation of motion of a particle, then it...

    Text Solution

    |

  14. A circular metal plate is heated so that its radius increases at a rat...

    Text Solution

    |

  15. The distances moved by a particle in time t seconds is given by s=t^(3...

    Text Solution

    |

  16. If s=e^(t) (sin t - cos t) is the equation of motion of a moving parti...

    Text Solution

    |

  17. A spherical balloon is being inflated so that its volume increase unif...

    Text Solution

    |

  18. If a point is moving in a line so that its velocity at time t is propo...

    Text Solution

    |

  19. The edge of a cube is equal to the radius o the sphere. If the rate at...

    Text Solution

    |

  20. The side of an equilateral triangle is a units and is increasing at th...

    Text Solution

    |