Home
Class 12
MATHS
The position of a particle moving along ...

The position of a particle moving along a horizontal line of any time t is given by `s(t)=3t^(2)-2t-8`. The time at which the particle is at rest is

A

t=0

B

`t=(1)/(3)`

C

t=1

D

1=3

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DIFFERENTIAL CALCULUS

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED|56 Videos
  • APPLICATIONS OF DIFFERENTIAL CALCULUS

    FULL MARKS|Exercise EXERCISE - 7.9|2 Videos
  • APPLICATIONS OF INTEGRATION

    FULL MARKS|Exercise ADDITIONAL PROBLEMS|35 Videos

Similar Questions

Explore conceptually related problems

A particle moves along a horizontal line such that its position at any time t is given by s(t) = t^(3) - 6t^(2) + 9t + 1 , s in meters and t in seconds. At what time the particle is at rest?

A particle moves along a line according to the law s(t)=2t^(3)-9t^(2)+12t-4 , where tge0 . At what times the particle changes direction?

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

The displacement of the particle along a straight line at time t is given by X=a+bt+ct^(2) where a, b, c are constants. The acceleration of the particle is

The position of a particle moving on X-axis is given by x=At^3+Bt^2+Ct+D . The numerical values of A,B,C,D are 1,4,-2 and 5 respectively and I units are used. Find a. the dimensions of A,B, C and D b. the velocity of the particle at t=4s, the acceleration of he particle at t=4s, d. The average velocity during the interval t=0 to t=4s, the average accelerationduring the interval t=0 to t=4s.

The position x of a particle with respect to time t along x is in given by x =9t^2-t^3 where x is in meters and t in second. What will be the position of this particle when it achieves maximum speed along the "+x directions?

The co-ordinates of a moving particle at time t are given by x = at^(2), = y bt^(2) The speed of the particle is _____ .

The law of linear motion of a particle is given by s=1/3t^(3)-16t , the acceleration at the time when the velocity vanishes is

A particle moves along a line according to the law s(t)=2t^(3)-9t^(2)+12t-4 , where tge0 . Find the particle's acceleration each time the velocity is zero.

FULL MARKS-APPLICATIONS OF DIFFERENTIAL CALCULUS -EXERCISE - 7.10
  1. The volume of a sphere is increasing in volume at the rate of 3picm^(3...

    Text Solution

    |

  2. A balloon rises straight up at 10m/s. An observer is 40 m away from th...

    Text Solution

    |

  3. The position of a particle moving along a horizontal line of any time ...

    Text Solution

    |

  4. A stone is thrown up vertically. The height it reaches at time t secon...

    Text Solution

    |

  5. Find the slope for x=2 in f(x)=x^(3)+2

    Text Solution

    |

  6. The abscissa of the point on the curve f(x)=sqrt(8-2x) at which the sl...

    Text Solution

    |

  7. The slope of the line normal to the curve f(x)=2cos4x" at "x=pi/12 is

    Text Solution

    |

  8. The tangent to the curve y^(2)-xy+9=0 is vertical when ……………… .

    Text Solution

    |

  9. Angle between y^(2)=xandx^(2)=y at the origin is

    Text Solution

    |

  10. What is the value of the limit underset (xrarr0)lim (cot x-(1)/(x))?

    Text Solution

    |

  11. The function sin^(4)x+cos^(4)x is increasing in the interval

    Text Solution

    |

  12. The number given by the Rolle's theorem for the function x^(3)-3x^(2),...

    Text Solution

    |

  13. The number given by the Mean value theorem for the function 1/x,x in[1...

    Text Solution

    |

  14. The minimum value of the function |3-x|+9 is

    Text Solution

    |

  15. The maximum slope of the tangent to the curve y=e^(x)sinx,x in[0,2pi] ...

    Text Solution

    |

  16. The maximum value of the function x^(2)e^(-2x),xgt0 is

    Text Solution

    |

  17. One of the closest points on the curve x^(2)-y^(2)=4 to the point (6, ...

    Text Solution

    |

  18. The maximum value of the product of two positive numbers, when their s...

    Text Solution

    |

  19. The curve y=ax^(4)+bx^(2)" with "abgt0

    Text Solution

    |

  20. The point of inflection of the curve y=(x-1)^(3) is

    Text Solution

    |