Home
Class 11
PHYSICS
The position vector of a particle is vec...

The position vector of a particle is `vecr=4t^(2)hati+2thatj+3thatk`. The acceleration of a particle is having only

A

X-component

B

Y-component

C

Z-component

D

X-Y component

Text Solution

Verified by Experts

The correct Answer is:
C

`vecr=4t^(2)hati+2thatj+3hatk,vecv=(dvecr)/(dt)=8thati+2hatj`
`a=(d^(2)r)/(dt^(2))=8hatia` is having only X-component.
Promotional Banner

Topper's Solved these Questions

  • KINEMATICS

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED (SHORT ANSWER QUESTIONS - 1 (2 MARKS))|20 Videos
  • KINEMATICS

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED (NUMERICAL QUESTIONS)|42 Videos
  • KINEMATICS

    FULL MARKS|Exercise TEXTUAL QUESTIONS SOLVED (LONG ANSWER QUESTIONS)|14 Videos
  • HEAT AND THERMODYNAMICS

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED (Numerical Problems)|16 Videos
  • KINETIC THEORY OF GASES

    FULL MARKS|Exercise Addtional Numerical Problems|10 Videos

Similar Questions

Explore conceptually related problems

The position vector of a particle is vecr=4t^(2)hati+2thatj+3hatk . The speed of the particle t=5s is

The position vector of the particle is vecr=3t^2 hati+5t hatj+9hatk . What is the acceleration of the particle?

If the position vector of the particle is given by vecr = 3 t^2 hati + 5t hatj + 4hatk . Find the velocity of the particle at t = 3s.

The position vector for a particle is represented be vecr=3t^(2)hati+5thatj+6hatk , find the velocity and speed of the particle at t=3 sec.

If the position vector of the particle is given by vecr=3hatt^(2)hati+5thatj+4hatk , Find the (a) The velocity of the particle at t=3s (b) Speed of the particle at t= 3s (c) Acceleration of the particle at time t=3s

The position vector of a particle is given vecr= 2thati+3t^(2)hatj-5hatk calculate the velocity and speed of the particle at any instant 't'.

If position of a particle at instant t is given by x=3t^(2) , find the velocity and acceleration of the particle.

FULL MARKS-KINEMATICS-ADDITIONAL QUESTIONS SOLVED (I.MULTIPLE CHOICE)
  1. The slope of the speed-time graph gives .

    Text Solution

    |

  2. The slope of velocity-time graph gives

    Text Solution

    |

  3. The position vector of a particle is vecr=4t^(2)hati+2thatj+3thatk. Th...

    Text Solution

    |

  4. The position vector of a particle is vecr=4t^(2)hati+2thatj+3hatk. The...

    Text Solution

    |

  5. An object is moving in a straight line with uniform acceleration a, th...

    Text Solution

    |

  6. An object is moving in a straight line with uniform acceleration, the ...

    Text Solution

    |

  7. An object is moving in a straight line with uniform acceleration, the ...

    Text Solution

    |

  8. For free falling body, its initial velocity is

    Text Solution

    |

  9. An object falls from a height h (hltltR).the speed of the object when ...

    Text Solution

    |

  10. An object falls from a height h (hltltR).the speed of the object when ...

    Text Solution

    |

  11. In the absence of air resistance, horizontal velocity of the projectil...

    Text Solution

    |

  12. In the horizontal projection, the range of the projectile is

    Text Solution

    |

  13. In oblique projection, maximum height attained by the projectile is

    Text Solution

    |

  14. In oblique projection time of flight of a projectile is

    Text Solution

    |

  15. In the horizontal projection, the range of the projectile is

    Text Solution

    |

  16. In oblique projection, maximum height attained by the projectile is

    Text Solution

    |

  17. One radian is equal to

    Text Solution

    |

  18. The relation between linear and angular velocity is

    Text Solution

    |

  19. Centripetal acceleration is given by

    Text Solution

    |

  20. In uniform circular motion

    Text Solution

    |