Home
Class 11
PHYSICS
The velocity of a particle moving in the...

The velocity of a particle moving in the x-y plane is given by `dx/dt=8pisin2pit` and `dy/dt=5picos2pit` where , t=0, x=8 and y=0, the path of the particle is

A

a straight line

B

an ellipse

C

a circle

D

a parabola

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • Motion in a Plane

    SL ARORA|Exercise Example|111 Videos
  • MECHANICS

    SL ARORA|Exercise Exercise|341 Videos
  • MOTION IN ONE DIMENSION

    SL ARORA|Exercise problems for self practice|66 Videos

Similar Questions

Explore conceptually related problems

The velocity of a particle moving in the x-y plane is given by (dx)/(dt) = 8 pi sin 2 pi t and (dy)/(dt) = 5 pi sin 2 pi t where, t = 0, x = 8 and y = 0 , the path of the particle is.

A partical moves in the x-y plane according to the scheme x=-8 sin pi t and y=-2 cos 2pi t , where t is time. Find the equation of path of the particle

x and y co-ordinates of a particle moving in x-y plane at some instant of time are x=2t and y=4t .Here x and y are in metre and t in second. Then The path of the particle is a…….

A particle moves in the x-y plane with velocity v_x = 8t-2 and v_y = 2. If it passes through the point x =14 and y = 4 at t = 2 s, the equation of the path is

The potential energy of a particle of mass 5 kg moving in xy-plane is given as U=(7x + 24y) joule, x and y being in metre. Initially at t=0 , the particle is at the origin (0,0) moving with velovity of (8.6hati+23.2hatj) ms^(1) , Then

A particle moves in the the x-y Plane according to the scheme x-8 sin pit , where t is time. Find equation to the path of the particle. Show the path on a graph.

A particle is moving in X-Y plane that x=2t and y=5sin(2t). Then maximum speed of particle is:

A particle moves in x-y plane according to the equations x= 4t^2+ 5t+ 16 and y=5t where x, y are in metre and t is in second. The acceleration of the particle is

SL ARORA-Motion in a Plane-Excercise
  1. A body is projected horizontally with a velocity of 4sqrt2 m/sec. The ...

    Text Solution

    |

  2. The position of a particle moving in the x-y plane at any time t is gi...

    Text Solution

    |

  3. The velocity of a particle moving in the x-y plane is given by dx/dt=8...

    Text Solution

    |

  4. Wind is blowing from south at 10 m/s but to a cyclist it appears to be...

    Text Solution

    |

  5. A body A is dropped vertically from the top of a tower. If another ide...

    Text Solution

    |

  6. Which of the following is constant in a projectile motion?

    Text Solution

    |

  7. At the uppermost point of a projectile, its velocity and acceleration ...

    Text Solution

    |

  8. Two projectiles are projected with the same velocity. If one is projec...

    Text Solution

    |

  9. A body is projected at such an angle that the horizontal range is thre...

    Text Solution

    |

  10. Two projectiles of same mass have their maximum kinetic encrgies in ra...

    Text Solution

    |

  11. A particle is projected with an angle of projection theta to the horiz...

    Text Solution

    |

  12. The direction of the angular velocity vector is along

    Text Solution

    |

  13. A stone tied to the end of a string 80 cm long is whirled in a horizon...

    Text Solution

    |

  14. IF the equation for the displancement of a particle moving on a circul...

    Text Solution

    |

  15. A car is travelling with linear velocity v on a circular road of radiu...

    Text Solution

    |

  16. Two vectors are given by A=3hati+hatj+3hatk and B=3hati+5hatj-2hatk. F...

    Text Solution

    |

  17. A projectile is given an initial velocity of (hat(i)+2hat(j)) The Car...

    Text Solution

    |

  18. A particle is projected from the ground with an initial speed of v at ...

    Text Solution

    |

  19. Assertion: Two balls of different masses are thrown vertically upward ...

    Text Solution

    |

  20. Assertion : In javelin throw, the athlete throws the projectile at a...

    Text Solution

    |