Home
Class 11
MATHS
The distance travelled by a particle up...

The distance travelled by a particle upto tiem x is given by `f(x)=x^(3)-2x+1.` The time c at which at velocity of the particle is equal to its average velocity between times x=-1 and x=2 sec. is

A

15 sec

B

`sqrt((3)/(2))` sec

C

`sqrt(3)` sec

D

`sqrt((7)/(3))` sec

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MEAN VALUE THEOREMS

    OBJECTIVE RD SHARMA|Exercise Section II - Assertion Reason Type|4 Videos

  • MATRICES

    OBJECTIVE RD SHARMA|Exercise Chapter Test|30 Videos

  • PAIR OF STRAIGHT LINES

    OBJECTIVE RD SHARMA|Exercise Chapter Test|19 Videos

Similar Questions

Explore conceptually related problems

The distance covered by a particle in t sec is given by x=3+8t-4t^(2) . What will be its velocity after 1 second.

The distance travelled by a particle in time t is given by x = kt^3 , where k = 10 m s^(-3) . The average speed of the particle from t = 1 s to t = 5 s is

The horizontal and vertical distances travelled by a particle in time t are given by x=6t and y=8t-5t^(2) . If g= 10m//sec^(2) , then the initial velocity of the particle is

The position x of a particle varies with time t as x=At^(2)-Bt^(3) .the acceleration at time t of the particle will be equal to zero

The position of the particle moving along x-axis is given by x=2t-3t^(2)+t^(3) where x is in mt and t is in second.The velocity of the particle at t=2sec is

The displacement x of a particle at time t is given by x=160t-16t^(2) . Show that its velocity at t = 1 amd t = 9 are equal in magnitude but opposite in directions.

The displacement of a particle at time t is x, where x=t^4-kt^3 . IF the velocity of the particle at time t=2 is minimum, then

The distance travelled by a body and the time t are related by x=4-3t+2t^(2)m .The average velocity in a time interval of 1 to 4 sec is m/s

OBJECTIVE RD SHARMA-MEAN VALUE THEOREMS-Exercise
  1. Let fa n dg be differentiable on [0,1] such that f(0)=2,g(0),f(1)=6a n...

    Text Solution

    |

  2. If the polynomial equation an x^n + a(n-1) x^(n-1) + a(n-2) x^(n-2) + ...

    Text Solution

    |

  3. The equation x log x = 3-x has, in the interval (1,3) :

    Text Solution

    |

  4. If f(x) and g(x) ar edifferentiable function for 0lex le1 such that f(...

    Text Solution

    |

  5. If alpha beta( alpha lt beta) are two distinct roots of the equation. ...

    Text Solution

    |

  6. If (x) is a function given by f(x) = |{:(sinx , sin a, sin b),(cosx,c...

    Text Solution

    |

  7. The value of c in Largrange's theorem for the function f(x)= log(e) s...

    Text Solution

    |

  8. n is a positive integer. If the value of c presecribed in Rolle's th...

    Text Solution

    |

  9. The distance travelled by a particle upto tiem x is given by f(x)=x^(...

    Text Solution

    |

  10. The number of real root of the equation e^(x-1)+x-2=0, is

    Text Solution

    |

  11. If the polynomial equation an x^n + a(n-1) x^(n-1) + a(n-2) x^(n-2) + ...

    Text Solution

    |

  12. If 4a+2b+c=0 , then the equation 3ax^(2)+2bx+c=0 has at least one rea...

    Text Solution

    |

  13. For the function f(x) = x + 1/x, x in [1,3] , the value of c for me...

    Text Solution

    |

  14. If from Largrange's mean value theorem, we have f(x'(1))=(f'(b)-f(a))...

    Text Solution

    |

  15. Rolle's theorem is applicable in case of phi(x) = a^sin x,a>0 in

    Text Solution

    |

  16. The value of c in Rolle's theorem when f(x)=2x^(3)-5x^(2)-4x+3, x in [...

    Text Solution

    |

  17. When the tangent the curve y=x log (x) is parallel to the chord joinin...

    Text Solution

    |

  18. The value of c in Rolle's theorem for the function f (x) =(x(x+1))/e^x...

    Text Solution

    |

  19. The value of c in Largrange's mean value theorem for the function f(...

    Text Solution

    |

  20. The value of c in Rolle's theorem for the function f(x) = x^(3) - 3...

    Text Solution

    |