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

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

A

`42ms^(-1)`

B

3s

C

`3ms^(-1)`

D

`40ms^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
A, B, D
`vecr=4t^(2)hati+2thatj+3hatk`
Speed `v=(dvecr)/(dt)=8thati+2hatj` , at t=5s `v=40+2=42`
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+3thatk . The acceleration of a particle is having only

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

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

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

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. For free falling body, its initial velocity is

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. One radian is equal to

    Text Solution

    |

  17. The relation between linear and angular velocity is

    Text Solution

    |

  18. Centripetal acceleration is given by

    Text Solution

    |

  19. In uniform circular motion

    Text Solution

    |

  20. In non-uniform circular motion, the resultant acceleration is given by

    Text Solution

    |