Home
Class 12
PHYSICS
The position of a particle moving along ...

The position of a particle moving along x-axis varies with time t according to equation `x=sqrt(3) sinomegat-cosomegat` where `omega` is constants. Find the region in which the particle is confined.

A

`-2lt=xlt=2`

B

`-3lt=xlt=3`

C

`-sqrt(2)lt=xlt=sqrt(2)`

D

`-1lt=xlt=1`

Text Solution

Verified by Experts

The correct Answer is:
A

`:'-sqrt((sqrt3)^(2)+(-1)lt=)sqrt3sinomegat-cosomegatlesqrt((3)^(2)+(-1)^(2)`
`:.-2lt=xlt=2`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

The position of a particle moving in space varies with time t according as :- x(t)=3 cosomegat y(t)=3sinomegat z(t)=3t-8 where omega is a constant. Minimum distance of particle from origin is :-

Position of particle moving along x-axis is given as x=2+5t+7t^(2) then calculate :

The displacement of a particle varies with time according to the relation y= a sin omega t+b cos omega t ……………

(a) The position of a particle moving along the x-axis depends on the time according to equation. x=(3t^(2)-t^(3)) m. At what time does the particle reaches its maximum x-position? (b) What is the displacement during the first 4s.

The position of a particle moving along x-axis varies eith time t as x=4t-t^(2)+1 . Find the time interval(s) during which the particle is moving along positive x-direction.

For a particle moving along x- axis, speed must be increasing for the following graph :

A particle moves along X-axis in such a way that its coordinate X varies with time t according to the equation x = (2-5t +6t^(2))m . The initial velocity of the particle is

A particle moves in the x-y plane. It x and y coordinates vary with time t according to equations x=t^(2)+2t and y=2t . Possible shape of path followed by the particle is

A particle move a distance x in time t according to equation x = (t + 5)^-1 . The acceleration of particle is proportional to.

Angular position theta of a particle moving on a curvilinear path varies according to the equation theta=t^(3)-3t^(2)+4t-2 , where theta is in radians and time t is in seconds. What is its average angular acceleration in the time interval t=2s to t=4s ?

ALLEN -TEST PAPER-Exercise (Physics)
  1. Acceleration time graph of a particle moving along a straight line is ...

    Text Solution

    |

  2. Two smooth sphere each of radius 5cm and weight W rest one on the othe...

    Text Solution

    |

  3. The position of a particle moving along x-axis varies with time t acco...

    Text Solution

    |

  4. A particle of mass m is moving with constant speed in a vertical circl...

    Text Solution

    |

  5. The relation between time t and distance x of a particle is given by t...

    Text Solution

    |

  6. Velocity of a boat relative to river current and river current velocit...

    Text Solution

    |

  7. Potential energy curve U of a particle as function of the position of ...

    Text Solution

    |

  8. Block A of mass 5kg is placed on long block B having a mass of 5kg. Th...

    Text Solution

    |

  9. Block A of mass 5kg is placed on long block B having a mass of 5kg. Th...

    Text Solution

    |

  10. A sports car accelerations from zero to a certain speed in t seconds. ...

    Text Solution

    |

  11. According to Vander Wall's equation pressure(P), volume (V) and temper...

    Text Solution

    |

  12. According to Maxwell-distribution law, the probability function repres...

    Text Solution

    |

  13. Consider the equation d/(dt)(int vec(F). dvec(S))=A(vec(F).vec(p)) whe...

    Text Solution

    |

  14. A projectile passes two points A and B at same height after 2s and 6s ...

    Text Solution

    |

  15. What is//are the possible graph // graphs, if particle moves in a stra...

    Text Solution

    |

  16. Choose the INCORRECT statement (with respect to the 2nd law of motion)

    Text Solution

    |

  17. A force F equals to 100N is applied on 30kg box inside which a 10kg ma...

    Text Solution

    |

  18. A helicopter of mass M is lowering a truck of mass m onto the deck of ...

    Text Solution

    |

  19. A box with weight 10N rests on a horizontal surface. A person pulls ho...

    Text Solution

    |

  20. Two 20g worms climb over a 10cm high, very then wall. One worm is thin...

    Text Solution

    |