Home
Class 11
MATHS
The distance-time formula for the motion...

The distance-time formula for the motion of a particle along a straight line is `s=t^(3)-9t^(2)+24t-18`. Find when and where the velocity is zero.

Text Solution

Verified by Experts

The correct Answer is:
The particle is at a distance of `2` units from the strating point 'O' on either side.
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Exercise-10(f)|12 Videos

  • APPLICATION OF DERIVATIVES

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Exercise-10(g)|16 Videos

  • APPLICATION OF DERIVATIVES

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Exercise-10(d)|8 Videos

  • ADDITION OF VECTORS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Exercise - 4 (b) |11 Videos

  • DIFFERENTIATION

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Exercise-9(d)|15 Videos

Similar Questions

Explore conceptually related problems

A particle moves along a line by s = t^(3) - 9t^(2) + 24t . Then S is decreasing when t in

At time t, the distance s of a particle moving in a straight line is given by s= 4t^2+ 2t. Find the average velocity between t= 2sec and t= 8 sec.

The displacement s of a particle travelling in a straight line in t seconds is given by s=45t+11t^(2)-t^(3) . Find the time when the particle comes to rest.

The distance form a fixed point O of a particle pmoving in a straight line from O is given by s=16+48t-t^3 . The direction of motion of the particle after t=4 sec is

The motion of a particle along a straight line is described by the function s=6+4t^(2)-t^(4) in SI units.Find the velocity ,acceleration ,at t=2s,and the average velocity during 3rd second.

VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-APPLICATION OF DERIVATIVES-Exercise-10(e)
  1. At time t, the distance s of a particle moving in a straight line is g...

    Text Solution

    |

  2. If y=x^4 then find the average rate of change of y between x= 2 and x=...

    Text Solution

    |

  3. A particle moving along a straight line has the relation s=t^(3)+2t+3,...

    Text Solution

    |

  4. The distance-time formula for the motion of a particle along a straigh...

    Text Solution

    |

  5. The displacement s of a particle travelling in a straight line in t se...

    Text Solution

    |

  6. The volume of a cube is increasing at the rate of 8cm^3//sec. How fast...

    Text Solution

    |

  7. A stone is dropped into a quiet lake and ripples move in circles at th...

    Text Solution

    |

  8. The radius of a circle is increasing at the rate of 0.7 cm/s. What is ...

    Text Solution

    |

  9. A balloon which always remains spherical on inflation is being inflate...

    Text Solution

    |

  10. The radius of an air bubble is increasing at the rate of 1/2 cm/sec. A...

    Text Solution

    |

  11. Assume that an object is launched upward at 980m/seclis position would...

    Text Solution

    |

  12. Let a kind of bacteria grow by t^(3) (t in sec). At what time the rate...

    Text Solution

    |

  13. Suppose we have a rectangular aquarium with dimensions of length 8m, w...

    Text Solution

    |

  14. A container is in the shape of an inverted cone has height 8m and radi...

    Text Solution

    |

  15. The total cost C(x) in Rupees associated with the production of x unit...

    Text Solution

    |

  16. The total revenue in rupees received from the sale os x units of a pro...

    Text Solution

    |

  17. A point P is moving on the curve y = 2 x^(2) . The x coordinate of P ...

    Text Solution

    |