Home
Class 11
PHYSICS
Displacement (x) and time (t) of a parti...

Displacement (x) and time (t) of a particle in motion are related as x = at +`bt^(2) -ct^(3)` where a,b, and c, are constants. Velocity of the particle when its acceleration becomes zero is

A

`a +(b^(2))/(c )`

B

`a +(b^(2))/(2c )`

C

`a +(b^(2))/(3c )`

D

`a +(b^(2))/(4c )`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • ONE - DIMENSIONAL MOTION

    CHHAYA PUBLICATION|Exercise EXERCISE ( Graphical Analysis )|1 Videos

  • ONE - DIMENSIONAL MOTION

    CHHAYA PUBLICATION|Exercise EXERCISE ( Miscellaneous )|3 Videos

  • ONE - DIMENSIONAL MOTION

    CHHAYA PUBLICATION|Exercise HIGHER ORDER THINKING SKILL (HOTS) QUESTIONS|35 Videos

  • NEWTONIAN GRAVITATION AND PLANETARY MOTION

    CHHAYA PUBLICATION|Exercise CBSE SCANNER|19 Videos

  • QUESTION PAPERS OF NEET -2017

    CHHAYA PUBLICATION|Exercise QUESTION|32 Videos

Similar Questions

Explore conceptually related problems

The displacement x of a particle in rectilinear motion at time t is represented as x^(2) = at^(2) +2bt+c , where a ,b, and c are constants. Show that the acceleration of this particle varies (1)/(x^(3)) .

The displacement (s ) of a particle depends on time (t) as s = 2at^(2)-bt^(3) . Then

The acceleration (a) and the velocity of a particle in rectilinear motion are related as a = -sqrt(v) . Then

A particle moves along X-axis and its displacement at any time is given by x(t) = 2t^(3) -3t^(2) + 4t in SI units. The velocity of the particle when its acceleration is zero, is

The velocity v of a particle is related to time t as v = 4+2 (c_(1)+c_(2)t) , where c_(1) and c_(2) are constants . Find out the initial velocity and acceleration.

Displacement x and time t, in a rectiIinear motion of a partical are reIated as t = sqrt(x)+3 . Here x is measured in metre and t in second. Find the displacement of the partical when its velocity is zero.

If the instantaneous velocity of the particle is zero, will its instantaneous acceleration be necessarily zero?

At which points of its path, the velocity of a particle executing SHM becomes zero?

A particle is moving along a straight line OX. The displacement (x) from the point o and the time (t) taken are related as x = 40 +12t- t^(3) , where x is in metre and t in second. How far would the particle move before coming to rest ?

CHHAYA PUBLICATION-ONE - DIMENSIONAL MOTION -EXERCISE (Multiple Choice Questions)
  1. A person covers half of his path at a speed of 30 "km.h"^(-1) and the ...

    Text Solution

    |

  2. Starting from rest a car moves for sometime with a constant accelerati...

    Text Solution

    |

  3. Displacement (x) and time (t) of a particle in motion are related as x...

    Text Solution

    |

  4. The motion of a particle is described by the equation v = at. The dist...

    Text Solution

    |

  5. A particle starting from rest with constant acceleration travels a dis...

    Text Solution

    |

  6. The displacement of a particle is given by y = a +bt+ct^(2)+dt^(4). Th...

    Text Solution

    |

  7. The displacement of a particle starting from rest (at t = 0) is given ...

    Text Solution

    |

  8. A car starts from rest and travels a distance s with a uniform acceler...

    Text Solution

    |

  9. Two stations A and B are 2km apart. A train moves at first with a unif...

    Text Solution

    |

  10. A car moves with a uniform velocity of 36 "km.h^(-1) on a straight roa...

    Text Solution

    |

  11. Two scooters start at an interval of 1 min between them, each moving w...

    Text Solution

    |

  12. A passenger in a train with speed 72 km/h observed another train comi...

    Text Solution

    |

  13. A runner wins a race in front of another runner. The uniform accelera...

    Text Solution

    |

  14. A body is thrown vertically upwards at 40 "m.s"^(-1) . After sometime ...

    Text Solution

    |

  15. A body freely falling from rest has a velocity v after it falls throug...

    Text Solution

    |

  16. A ball is thrown vertically upward with a speed v from a height h abo...

    Text Solution

    |

  17. A body A is thrown up vertically from the ground with a velocity v(0) ...

    Text Solution

    |

  18. A stone is dropped from a height h. Another stone is thrown simultaneo...

    Text Solution

    |

  19. A stone is falling freely. The distance travelled in the last second i...

    Text Solution

    |

  20. A stone is thrown vertically upwards from some high point P. The veloc...

    Text Solution

    |