Home
Class 11
PHYSICS
Displacement (x) of a particle is relate...

Displacement (x) of a particle is related to time (t) as
`x = at + b t^(2) - c t^(3)`
where a,b and c are constant of the motion. The velocity of the particle when its acceleration is zero is given by:

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
c
Promotional Banner

Topper's Solved these Questions

  • MOTION IN A STRAIGHT LINE

    MODERN PUBLICATION|Exercise COMPETITION FILE ( C.(MULTIPLE CHOICE QUESTIONS))|13 Videos

  • MOTION IN A STRAIGHT LINE

    MODERN PUBLICATION|Exercise COMPETITION FILE ( D.(MULTIPLE CHOICE QUESTIONS))|9 Videos

  • MOTION IN A STRAIGHT LINE

    MODERN PUBLICATION|Exercise COMPETITION FILE ( A.(MULTIPLE CHOICE QUESTIONS))|20 Videos

  • MOTION IN A PLANE

    MODERN PUBLICATION|Exercise Chapter Practice Test|15 Videos

  • OSCILLATIONS

    MODERN PUBLICATION|Exercise Practice Test (For Board Examination)|12 Videos

Similar Questions

Explore conceptually related problems

The displacement x of a particle varies with time t as x = ae^(-alpha t) + be^(beta t) . Where a,b, alpha and beta positive constant. The velocity of the particle will.

The displacement (x) of a particle as a function of time (t) is given by x=asin(bt+c) Where a,b and c are constant of motion. Choose the correct statemetns from the following.

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 displacement of a particle after time t is given by x = (k // b^(2)) (1 - e^(-bi)) . Where b is a constant. What is the acceleration fo the particle ?

The displacement x of a particle at time t moving along a straight line path is given by x^(2) = at^(2) + 2bt + c where a, b and c are constants. The acceleration of the particle varies as

Displacement x=t^(3)-12t+10 . The acceleration of particle when velocity is zero is given by

For a particle moving in a straight line, the displacement of the particle at time t is given by S=t^(3)-6t^(2) +3t+7 What is the velocity of the particle when its acceleration is zero?

The displacement of a particle at time t is given by vecx=ahati+bthatj+(C )/(2)t^(2)hatk where a, band care positive constants. Then the particle is

MODERN PUBLICATION-MOTION IN A STRAIGHT LINE -COMPETITION FILE ( B.(MULTIPLE CHOICE QUESTIONS))
  1. An automobile travellingat 40 km//h, can be stopped at distance of 4...

    Text Solution

    |

  2. All the graphs below are intended to represent the same motion. One of...

    Text Solution

    |

  3. The velocity of particle is v=v(0)+"gt"+ft^(2). If its position is x=0...

    Text Solution

    |

  4. An object , moving with a speed of 6.25 m//s , is decelerated at a ra...

    Text Solution

    |

  5. A ball is released from the top of a tower of height h metre. It takes...

    Text Solution

    |

  6. A particle of mass m is acted upon by a force F given by the emprical ...

    Text Solution

    |

  7. From a tower of height H, a particle is thrown vertically upwards with...

    Text Solution

    |

  8. A person climbs up a stalled escalator in 60s. If standing on the same...

    Text Solution

    |

  9. The velocity-time graphsof a car and a scooter are shown in the figur...

    Text Solution

    |

  10. Two stones are through up simultaneously from the edge of a cliff 240 ...

    Text Solution

    |

  11. Which of the following option correctly describes the variation of the...

    Text Solution

    |

  12. A car moving with a velocity of 20ms^(-1) is stopped in a distance of ...

    Text Solution

    |

  13. A car is standing 200m behind a bus , which is also at rest . The two....

    Text Solution

    |

  14. Which graph corresponds to an object moving with a constant negative a...

    Text Solution

    |

  15. A body is thrown vertically upwards. Which one of the following graphs...

    Text Solution

    |

  16. Displacement (x) of a particle is related to time (t) as x = at + b ...

    Text Solution

    |

  17. A particle starting from rest. Its acceleration (a) versus time (t) is...

    Text Solution

    |

  18. A small block slides without friction down an iclined plane starting f...

    Text Solution

    |

  19. A tennis ball dropped on a barizoontal smooth surface , it because bac...

    Text Solution

    |

  20. Consider an expanding sphere of instantaneous radius ? whose total mas...

    Text Solution

    |