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

The position vector of a particle is given by
`vecr=3.0t hati-2.0t^2hatj+4.0hatk m`
Where t is in seconds and the coefficients have the proper units for `vecr` to be in metres.
(a) Find the `vecv and veca` of the particle ?

Text Solution

Verified by Experts

The correct Answer is:
`v(vect)=(3.0hati=4.0t hatj),veca(t)=-4.0hatj`
Promotional Banner

Topper's Solved these Questions

  • VECTOR

    CHHAYA PUBLICATION|Exercise PROBLEM SET-II (Hot Numerical Problems)|24 Videos
  • VECTOR

    CHHAYA PUBLICATION|Exercise ENTRANCE CORNER (Assertion -reason type)|12 Videos
  • VECTOR

    CHHAYA PUBLICATION|Exercise PROBLEM SET-I|59 Videos
  • THERMOMETRY

    CHHAYA PUBLICATION|Exercise EXAMINATION ARCHIEVE - WBJEE|1 Videos
  • VISCOSITY AND SURFACE TENSION

    CHHAYA PUBLICATION|Exercise EXERCISE (CBSE SCANNER)|9 Videos

Similar Questions

Explore conceptually related problems

The position of a particle is given by, vecr = (3.0t hati -2.0t^2 hatj + 4.0 hatk)m where t is in seconds and the coefficients have the proper units for r to be in metres. What is the magnitude and direction of velocity of the particle at t = 2.0 s ?

The position vector of a particle is, vecr=3thati-2t^2hatj+4hatk . Find out (i) its velocity vecv and acceleration veca ,

The position vector of a particle is, vecr=3thati-2t^2hatj+4hatk . Find out (ii) the magnitude and direction of its velocity at t=2s.

The position vector of a particle vecr =(t^2-1)hati +2thatj . Determine the trajectory of the particle in the xy plane.

Position vector of a particle is related to time t as vecr=(t^2-1)hati+2thatj . The locus of the particle on the x-y plane is

CHHAYA PUBLICATION-VECTOR-PROBLEM SET-II
  1. If |vecAxxvecB|=sqrt(3)vecA*vecB, then show that |vecA+vecB|=sqrt(A^...

    Text Solution

    |

  2. vecA,vecB and vecC are unit vectors, vecA*vecB=vecA*vecC=0 , and the a...

    Text Solution

    |

  3. veca1 and veca2 two non-collinear unit vectors and |veca1+veca2|=sqrt(...

    Text Solution

    |

  4. A body is thrown horizontally with velocity 122 m *s^(-1) from the top...

    Text Solution

    |

  5. The maximum height attained and the range of a projectile are H and R ...

    Text Solution

    |

  6. A fighter plane flying horizontally at an altitude of 1.5 km with spe...

    Text Solution

    |

  7. Find the angle of projection of a projectile for which the horizontal ...

    Text Solution

    |

  8. A particle is projected with a velocity of 20 m/s at an angle of 30^@...

    Text Solution

    |

  9. A stone ,thrown with the same initial speed ,rises 20 m higher when t...

    Text Solution

    |

  10. A bullet is fired with a velocity of 900 km/h in the horizontal direct...

    Text Solution

    |

  11. A bullet is fired with a velocity of 900 km/h in the horizontal direct...

    Text Solution

    |

  12. A bullet is fired with a velocity of 10m/s^(2) at an angle 30^(degree)...

    Text Solution

    |

  13. Two particles are projected simultaneously with the same initial veloc...

    Text Solution

    |

  14. The resultant velocity of a projectile at its highest point is sqrt(6...

    Text Solution

    |

  15. Maximum and minimum values of the resultant of two forces, acting at...

    Text Solution

    |

  16. At 10.a.m.., a ship A is at 40 km to the east of a ship B . Ship A ...

    Text Solution

    |

  17. Two vectors hati+hatj+2hatk and hati+hatj-hatk represent two sides of...

    Text Solution

    |

  18. In a trapezium ABCD vec(AB)=3hati, vec(AD)=hati+2hatj ,vec(DC)=2hati....

    Text Solution

    |

  19. The position vector of a particle is given by vecr=3.0t hati-2.0t^2h...

    Text Solution

    |

  20. The position vector of a particle is given by vecr=3.0t hati-2.0t^2h...

    Text Solution

    |