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

A particle is moving in a straight line according as `s=45t+11t^2-t^3` then the time when it come to rest is

A

`-9 seconds`

B

`5/3`seconds

C

`9 seconds`

D

`-5/3` seconds

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise CRITICAL THINKING|129 Videos

  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise COMPETITIVE THINKING|161 Videos

  • APPICATIONS OF DEFINITE INTEGRAL

    TARGET PUBLICATION|Exercise EVALUATION TEST|18 Videos

  • BINOMIAL DISTRIBUTION

    TARGET PUBLICATION|Exercise EVALUTION TEST|12 Videos

Similar Questions

Explore conceptually related problems

A particle is moving in a striaght line according as S=15t+6t^2-t^3 , then the time it will come to rest is

A particle is moving in a straight line according to graph given below : (a is acceleration, v is velocity, x is position, t is time) :

A particle moves along a straight line according to the law s=16-2t+3t^(3) , where s metres is the distance of the particle from a fixed point at the end of t second. The acceleration of the particle at the end of 2s is

A particle is moving in a straight line. At time t the distance between the particle from its starting point is given by x=t-6t^(2)+t^(3) . Its acceleration will be zero at

A particle is moving in a straight line. At time t, the distance between the particle from its starting point is given by x =t- 9t^(2) + t^(3) . lts acceleration will be zero at

If a particle moves according to the law s=6t^(2)-(t^(3))/(2) , then the time at which it is momentarily at rest is

Particle is moving in a straight line. Distance x is related to the time t by the equation t=sqrt(x)+3 . Distance x is measured in metres and time t is seconds. After how many seconds will the particle come to the rest?

TARGET PUBLICATION-APPLICATIONS OF DERIVATIVES-EVALUATION TEST
  1. A particle is moving in a straight line according as s=45t+11t^2-t^3 ...

    Text Solution

    |

  2. If 27a+9b+3c+d=0 then the equation 4ax^(3)-3bx^(2)+2cx+0 has at leat ...

    Text Solution

    |

  3. If the curve y=x^(2)+bx +c touches the line y = x at the point (1,1),...

    Text Solution

    |

  4. A tangent to the parabola y^2=8x makes an angle of 45^0 with the strai...

    Text Solution

    |

  5. The greatest value of the function f(x)=tan^(- 1)x-1/2logx in [1/(sqrt...

    Text Solution

    |

  6. IF alpha+beta=pi/2, then cosalpha cos beta has a maximum value at beta...

    Text Solution

    |

  7. Prove that the segment of the tangent to the hyperbola y = (c )/(x) w...

    Text Solution

    |

  8. If 2a+3b+6c=0, then prove that at least one root of the equation a x^2...

    Text Solution

    |

  9. The maximum value of f(x)=sinx(1+cosx) is

    Text Solution

    |

  10. The minimum value of f(x)=sin^4x+cos^4x,0lexlepi/2 is

    Text Solution

    |

  11. The minimum value of 2^(x^2-3)^(3+27) is 2^(27) (b) 2 (c) 1 (d) ...

    Text Solution

    |

  12. If the function f(x)=3 cos |x| -6 ax +b increases for all x in R then ...

    Text Solution

    |

  13. The minimum value of a^2sec^2x+b^2cosec^2x,0ltaltb,is

    Text Solution

    |

  14. The function y=(ax+b)/(x-1)(x-4) has turning point at P(2,-1) Then fin...

    Text Solution

    |

  15. if 0ltalphaltbetaltpi/2 , then

    Text Solution

    |

  16. The two curves y=3^x and y=5^xintersect at an angle

    Text Solution

    |

  17. If alpha and beta (alpha lt beta) are two different real rootsof the e...

    Text Solution

    |

  18. The function f(x)=tan^(-1)(sinx+cosx) is an increasing function in

    Text Solution

    |

  19. If the function f(x)=x^3-12ax^2+36a^2x-4(agt0) attains its maximum a...

    Text Solution

    |

  20. Verify Rolle's theorem for each of the following functions : f(x) = ...

    Text Solution

    |

  21. The abscissa of the point on the curve ay^2 = x^3, the normal at whic...

    Text Solution

    |