Home
Class 11
PHYSICS
A particle moves so that its position ve...

A particle moves so that its position vector is 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 ?

A

Velocity of perpendicular to `vecr` and acceleration is directed towards the origin.

B

Velocity is perpendicular to `vecr` and acceleration is directed away from the origin,

C

Velocity and acceleration both are perpendicular to `vecr`

D

Velocity and acceleration both are parallel to `vecr`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • KINEMATICS

    MTG GUIDE|Exercise CHECK YOUR NEET VITALS|22 Videos

  • GRAVITATION

    MTG GUIDE|Exercise AIPMT/NEET MCQS|32 Videos

  • LAWS OF MOTION

    MTG GUIDE|Exercise AIPMT /NEET (MCQ)|24 Videos

Similar Questions

Explore conceptually related problems

A particle moves so that its position vertor is given by overset rarr(r ) = cos omegat hatx + sin omegat haty , where omega is a constant. Which of the following is true?

A particle moves such that its momentum vector vecp(t) = cos omega t hati + sin omega t hatj where omega is a constant and t is time. Then which of the following statements is true for the velocity vec v(t) and acceleration veca (t) of the particle :

A particle move so that its position verctor varies with time as vec r=A cos omega t hat i + A sin omega t hat j . Find the a. initial velocity of the particle, b. angle between the position vector and velocity of the particle at any time, and c. speed at any instant.

A particle moves so that its position vector varies with time as vec(r)=A cos omega t hat(i) +A sin omega t hat(j) . If (dvec(r))/(dt) gives instantaneous velocity. Find the initial velocity of particle.

A particle moves so that its position vector varies with time as vec(r )= A cos omegathat(i)+A sin omega t hai(j) . The initial velocity of the particel the particle is

The position vector of a particle is vec( r) = a cos omega t i + a sin omega t j , the velocity of the particle is

The position vector of a particle at time t is given by vecr=2t hati+5t hatj+4sin omegat hatk where omega is a constant.Answer the following questions Velocity vector of the particle is

The position vector of a particle at time t is given by vecr=2t hati+5t hatj+4sin omegat hatk where omega is a constant.Answer the following questions Velocity vector is perpendicular to …….vector

MTG GUIDE-KINEMATICS -AIPMT/ NEET MCQs
  1. A particle covers half of its total distance with speed v1 and the res...

    Text Solution

    |

  2. The horizontal range and the maximum height of a projectile are equal....

    Text Solution

    |

  3. A particle has initial velocity (2 vec(i)+3 vec(j)) and acceleration (...

    Text Solution

    |

  4. The motion of a particle along a straight line is described by equatio...

    Text Solution

    |

  5. A stone falls freely under gravity. It covered distances h1, h2 and h3...

    Text Solution

    |

  6. a projectile is fired from the surface of the earth with a velocity of...

    Text Solution

    |

  7. A particle is moving such that its position coordinates (x, y) are (2m...

    Text Solution

    |

  8. A particle of unit mass undergoes one-dimensional motion such that its...

    Text Solution

    |

  9. A ship A is moving westwards with a speed of 10 km h^(-1) and a ship B...

    Text Solution

    |

  10. If vectors vec A= cos omega t hat i + sin omega t hat j and vecB= cos...

    Text Solution

    |

  11. The position vector of a particle vec(R ) as a funtion of time is give...

    Text Solution

    |

  12. If the velocity of a particle is v = At + Bt^2, where A and B are cons...

    Text Solution

    |

  13. If the magnitude of sum of two vectors is equal to the magnitude of di...

    Text Solution

    |

  14. A particle moves so that its position vector is given by vec r = cos o...

    Text Solution

    |

  15. Two cars P and Q start from a point at the same time in a straight lin...

    Text Solution

    |

  16. Preeti reached the metro station and found that the escalator was not ...

    Text Solution

    |

  17. The x and y coordinates of the particle at any time are x=5t-2t^(2) a...

    Text Solution

    |

  18. The speed of a swimmer in still water is 20 m//s. The speed of river w...

    Text Solution

    |

  19. When an object is shot from the bottom of a long smooth inclined plane...

    Text Solution

    |

  20. Two particles A and B are moving in uniform circular motion in concent...

    Text Solution

    |