Home
Class 11
PHYSICS
The position vector of a particle isvecr...

The position vector of a particle is`vecr = (a cos omega t)hati + (a sin omegat)hatj`. the velocity of the particle is

A

directed towards the origin

B

direction away from the origin

C

parallel to the position vector

D

perpendicular to the position vector

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MOTION IN A PLANE

    AAKASH SERIES|Exercise Exercise -II|135 Videos
  • MOTION IN A PLANE

    AAKASH SERIES|Exercise Practice Exercise|84 Videos
  • MOTION IN A PLANE

    AAKASH SERIES|Exercise Practice Exercise|84 Videos
  • MECHANICAL PROPERTIES OF SOLIDS

    AAKASH SERIES|Exercise EXERCISE - 3|26 Videos
  • MOTION IN A STRAIGHT LINE

    AAKASH SERIES|Exercise Questions for Descriptive Answers|7 Videos

Similar Questions

Explore conceptually related problems

A particle moves so that its position vectors varies with time as vecr=Acosomegathati+Asinomegathatj . Find the (a)Initial velocity of the particle (b)angle between the position vector and velocity of the particle atony time. ©Speed at any instant .

The position vector of a particle moving in a plane is given by r =a cos omega t hati + b sin omega I hatj, where hati and hatj are the unit vectors along the rectangular axes C and Y : a,b, and omega are constants and t is time. The acceleration of the particle is directed along the vector

A particle moves so that position vector s given by vec(r) = cos omega t hat(x) + sin omega t hat(y) . Where omega is a constant. Which of the following is true ?

The position vector of a particle is given by r = 3t^(2)hati + 4t^(2)hatj + 7hatk m at a given time 't'. The net displacement of the particle after 10s is

AAKASH SERIES-MOTION IN A PLANE -Exercise -I
  1. For a projectile .R. is range and .H. is maximum height

    Text Solution

    |

  2. The equation of motion of a projectile is y=ax-bx^(2) , where a and b ...

    Text Solution

    |

  3. The term centripetal acceleration was proposed by

    Text Solution

    |

  4. Centripetal acceleration is

    Text Solution

    |

  5. Velocity vector and acceleration vector in a uniform circulat motion a...

    Text Solution

    |

  6. When milk is churned, cream gets seperated due to

    Text Solution

    |

  7. Suppose a disc is rotating counter clockwise in the plane of the paper...

    Text Solution

    |

  8. A particle of mass M moves in a circular path of radius r with a const...

    Text Solution

    |

  9. A body is in pure rotation. The linear speed v of the particle, the di...

    Text Solution

    |

  10. A particle revolves round a circular path. The acceleration of the par...

    Text Solution

    |

  11. The position vector of a particle isvecr = (a cos omega t)hati + (a si...

    Text Solution

    |

  12. Two racing cars of masses m(1) and m(2) are moving in circles of radi...

    Text Solution

    |

  13. Two particles having mass M and m are moving in a circular path having...

    Text Solution

    |

  14. A particle moves so that position vector s given by vec(r) = cos omega...

    Text Solution

    |

  15. A particle moves along a horizontal circle witrr constant speed. If 'a...

    Text Solution

    |

  16. Statement -A : The net acceleration of a particle in circular motion i...

    Text Solution

    |

  17. Statement -A : The acceleration vector of a particle in uniform circul...

    Text Solution

    |

  18. Identify the increasing order of the angular velocities of the followi...

    Text Solution

    |

  19. For a particle performing uniform circular motion, choose the correct ...

    Text Solution

    |

  20. (A) : If the speed of a body is constant, the body cannot have a path ...

    Text Solution

    |