Home
Class 12
MATHS
A particle is moving in a straight line ...

A particle is moving in a straight line with the relation between the time and the distance in such a way that `s=t^3-9t^2+24t-18`. The value of its velocity when the acceleration is zero is

A

10 unit/sec

B

0

C

`8//3` unit/sec

D

`-3` unit/sec

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1D (MEAN VALUE THEOREMS)|28 Videos
  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1E (MAXIMA AND MINIMA)|221 Videos
  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B (TANGENT AND NORMAL)|205 Videos
  • ADDITION OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 4|8 Videos
  • BINOMIAL THEOREM

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 4|4 Videos

Similar Questions

Explore conceptually related problems

A particle moves according to law s=t^3-3t^2+3t+12 . The velocity when the acceleration is zero is

A particle moving along a straight line has the relation s =t^2 +3, connecting the distance s described by the particle in time 1. Find the velocity and acceleration of the particle at t=4 seconds.

A particle moving along a straight line has the relation s=t^(3)+2t+3 , connecting the distance s describe by the particle in time t. Find the velocity and acceleration of the particle at t=4 sec.

A particle moves along a straight line such that its displacement at any time t is given by s= (t^3- 6t^3 +3t+4) metres. The velocity when the acceleration is zero is

A particle is moving on a straight line so that its distance s from a fixed point at any time t is proportional to t^n . If v be the velocity and 'a' the acceleration at any time , then (nas)/(n-1) equals

A particle is moving in a straight line such that its distance at any time 't' is given by s=t^4/4-2t^3+4t^2+7 then its accelertation is minimum at t=

DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1C (RATE OF CHANGE)
  1. A particle moving according to the law s=6t-1/2t^3. At what time its v...

    Text Solution

    |

  2. A particle is moving along a line according to the law s=t^3-3t^2+5. T...

    Text Solution

    |

  3. A particle is moving in a straight line with the relation between the ...

    Text Solution

    |

  4. The distance s feet travelled by a particle in time t seconds is given...

    Text Solution

    |

  5. A stone is thrown vertically up and the height s reached in time t is ...

    Text Solution

    |

  6. A stone thrown upwards, has its equation of motion s=490t-4.9t^2. The ...

    Text Solution

    |

  7. A stone is projected vertically upwards with an intial velocity 112 ft...

    Text Solution

    |

  8. A stone projected vertically upward moves according to the law s=48t-1...

    Text Solution

    |

  9. A stone is thrown vertically up and the height s reached in time t is ...

    Text Solution

    |

  10. The displacement of a body of mass 100kg in a retilinear motion is giv...

    Text Solution

    |

  11. A car starts from rest and attains the speed of 10 km/hr repectively a...

    Text Solution

    |

  12. A particle moves on a line according to the law s=at^2+bt+c. If the di...

    Text Solution

    |

  13. The point pis moving with uniform velocity v along a straight line AB....

    Text Solution

    |

  14. If the rate of decrease of x^2/2-2x+5 is twice the decrease of x, then...

    Text Solution

    |

  15. If the rate of change in y=2x^3+3x^2-30x+7 is 6 times the rate of chan...

    Text Solution

    |

  16. At the point (2, 5) on the curve y=x^3-2x+1 the gradient of the curve ...

    Text Solution

    |

  17. The point on the parabola x^2=8y for which the abscissa and ordinate c...

    Text Solution

    |

  18. The point on the parabola y^2=4x for which the abscissa and ordinate c...

    Text Solution

    |

  19. A point on the parabola y^2=18x at which the ordinate increases at twi...

    Text Solution

    |

  20. A particle moves along the curve y=x^2+2x. Then the point on the curve...

    Text Solution

    |