Home
Class 12
MATHS
The distance s moved by a particle in ti...

The distance s moved by a particle in time t is given by `s=t^(3)-6t^(2)+6t+8`. When the acceleration is zero, the velocity is ………..

A

5 cm/sec

B

2 cm/sec

C

6 cm/sec

D

`-6` cm/sec

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise TEXTBOOK ILLUSTRATIONS FOR PRACTICE WORK|51 Videos
  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise SOLUTIONS OF NCERT EXEMPLAR PROBLEMS (SHORT ANSWER TYPE QUESTIONS)|24 Videos
  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise PRACTICE WORK|85 Videos
  • ANNUAL EXAMINATION :SAMPLE PAPER

    KUMAR PRAKASHAN|Exercise PART-B ( SECTION-C)|10 Videos
  • APPLICATION OF INTEGRALS

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER ( SECTION -D)|2 Videos

Similar Questions

Explore conceptually related problems

A particle covers distance S in time t is given by S=t^(3)-6t^(2)+6t+8 . When the acceleration is 0, the velocity is …………

The distance travelled by a particle in time t is given by s=(2.5m/s^2)t^2 . Find a. the average speed of the particle during the time 0 5.0 s, and b. the instantaneous speed ast t=5.0 is

If s=2t^(3)+3t^(2)+2t+8 then find time at which acceleration is zero.

if position vector is vecr=t^3−6t^2+3t+4m find the time when acceleration is zero.

The displacement of a particle starting from rest (at t = 0) is given by s = 6t^(2) - t^(3) . The time in seconds at which the particle will attain zero velocity again, is

The equation of a particle in motion is S=(1)/(4)t^(4)-2t^(3)+4t^(2)-7 . When its acceleration become minimum ?

The displacement 'x' of a particle moving along a straight line at time t is given by x=a_(0)+a_(1)t+a_(2)t^(2) . The acceleration of the particle is :-

A particle moves along a staight line such that its displacement at any time t is given by s=t^3-6t^2+3t+4m . Find the velocity when the acceleration is 0.

The position of a particle moving along a straight line is given by x =2 - 5t + t ^(3). Find the acceleration of the particle at t =2 s. (x is metere).

The x and y coordinates of a particle at any time t are given by x=7t+4t^2 and y=5t , where x and t is seconds. The acceleration of particle at t=5 s is

KUMAR PRAKASHAN-APPLICATION OF DERIVATIVES -TEXTBOOK BASED MCQS
  1. The function f (x) is differentiable for every x. f(1)=-2 and f'(x)ge ...

    Text Solution

    |

  2. The side of an equilateral triangle expands at the rate of sqrt(3) cm/...

    Text Solution

    |

  3. The distance s moved by a particle in time t is given by s=t^(3)-6t^(2...

    Text Solution

    |

  4. The volume of a sphere is increasing at the rate of pi cm^(2)//sec. Th...

    Text Solution

    |

  5. There is 4% error in measuring the period of a simple pendulum. The ap...

    Text Solution

    |

  6. The height and radius of a cylinder are equal. An error of 2% is made ...

    Text Solution

    |

  7. The tangent to (at^(2), 2at) is perpendicular to X - axis at

    Text Solution

    |

  8. The line y=mx+1 touches y^(2)=4x, if m = …………

    Text Solution

    |

  9. Find the equation of normal to the curve x^((2)/(3))+y^((2)/(3))=a^((2...

    Text Solution

    |

  10. f(x)=x^(x) decreases in ……….

    Text Solution

    |

  11. f(x)=2|x-2|+3|x-4| is ………… in (2, 4).

    Text Solution

    |

  12. The local maximum value of f(x)=x+(1)/(x) is ………….

    Text Solution

    |

  13. The local minimum value of (x)/(log x) is ……….

    Text Solution

    |

  14. If log(e )4=1.3868, then approximate value of log(e )4.01= …………..

    Text Solution

    |

  15. The circumference of a circle is 20 cm and there is an error of 0.02 c...

    Text Solution

    |

  16. If the line y = x touches the curve y=x^(2)+bx+c at (1, 1), then …………

    Text Solution

    |

  17. y=ae^(x), y=be^(-x) intersect at right angles if ……….. (a ne 0, b ne 0...

    Text Solution

    |

  18. Tangent to y=5x^(5)+10x+15 …………..

    Text Solution

    |

  19. f(x)=2x+cot^(-1)x-log|x + sqrt(1+x^(2))| is …………..

    Text Solution

    |

  20. The sum of two non - zero numbers in 12. The minimum sum of their reci...

    Text Solution

    |