Home
Class 11
MATHS
The displacement of a particle in time '...

The displacement of a particle in time 't' is given by `S = t^(3) - t^(2) - 8t =18`. The acceleration of the particle when its velocity vanishes is

A

15 units/`sec^(2)`

B

10 units/`sec^(2)`

C

5 units/`sec^(2)`

D

20 units / `sec^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • RATE MEASUREMENT

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE - 1) (LEVEL - 1) (STRAIGHT OBJECTIVE TYPE QUESTION)|43 Videos
  • PROPERTIES OF VECTORS

    AAKASH SERIES|Exercise PRACTICE EXERCISES|55 Videos
  • RATE OF CHANGE

    AAKASH SERIES|Exercise Advanced Subjective Type Questions|22 Videos

Similar Questions

Explore conceptually related problems

If the distance S travelled by a particle in time t is given by s = t^(2) - 2t + 5 then its acceleration is

If the displacement in time t of a particle is given by s = ae^(t) + be^(-t) . Then the acceleration is equal to

The displacement of a particle moving along the x-axis is given by equation x=2t^(3)-2"t"^(2)+60t+6 .The possible acceleration of the particle when its velocity is zero is

The distance travelled by a particle in time t is gicen by s=t^3-2t^2-3t+5 . The velocity of the particle when t=2 sec is

The distance moved by the particle in time 't' is given by S = t^(2) - 12t^(2) + 6t + 8 . At the instant, when its acceleration is zero. The velocity is

If the distance s travelled by a particle in time t is given by s=t^2-2t+5 , then its acceleration is

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

AAKASH SERIES-RATE MEASUREMENT-PRACTICE SHEET (EXERCISE - 1) (LEVEL - 1) (STRAIGHT OBJECTIVE TYPE QUESTION)
  1. If the displacement in time t of a particle is given by s = ae^(t) + b...

    Text Solution

    |

  2. If the distance S travelled by a particle in time t is given by s = t^...

    Text Solution

    |

  3. The displacement of a particle in time 't' is given by S = t^(3) - t^(...

    Text Solution

    |

  4. A particle moves in a straight line according to the law v^(2) = 4a (x...

    Text Solution

    |

  5. The distance moved by the particle in time 't' is given by S = t^(2) -...

    Text Solution

    |

  6. A particle moves along the X-axis with velocity v = (dx)/(dt)=f(x) the...

    Text Solution

    |

  7. If the distance travelled by a particle is x = sqrt(pt^(2) + 2qt + r...

    Text Solution

    |

  8. If a particle moves along a line by S = sqrt(1 + t) then its accelerat...

    Text Solution

    |

  9. A particle moves on a line according to the law s = at^(2) + bt + c. I...

    Text Solution

    |

  10. A particle velocity v at time is given by v = 2e^(2t) cos(pi t)/(3). T...

    Text Solution

    |

  11. Each side of an equilateral triangle expands at the rate of 2 cm/sec. ...

    Text Solution

    |

  12. A variable triangle ABC is inscribed in a circle of diameter x units. ...

    Text Solution

    |

  13. An aeroplane is flying horizontally at an altitude of 3000 ft directly...

    Text Solution

    |

  14. A source of light is hung h mts. Directly above a straight horizontal ...

    Text Solution

    |

  15. If the rate of change in the perimeter of a square is K times the rate...

    Text Solution

    |

  16. The point of the ellipse 16x^(2) + 9y^(2) = 400. At which the ordinate...

    Text Solution

    |

  17. A car starts from and attains the speed of 1 km/hr nad 2,ms/hr at the ...

    Text Solution

    |

  18. A point is moving along y^(3) = 27x. The interval in which the absciss...

    Text Solution

    |

  19. In a simple pendulum , if the rate of change in the time period is equ...

    Text Solution

    |

  20. A point is moving on y = 4 - 2x^(2). The x-coordinate of the point is ...

    Text Solution

    |