Home
Class 12
PHYSICS
In a particle accelerator, the position ...

In a particle accelerator, the position vector of a particle is initially estimated as `vecr=6.0hati-7.0hatj+3.0hatk` and after 10 s, it is estimated to be `vecr=-3.0hati+9.0hatj-3.0hatk`, all in meters. In unit vector notation, what is the average velocity of the particle?

Text Solution

Verified by Experts

`(-0.90hati+1.6hatj-0.60hatk)m//s`
Promotional Banner

Topper's Solved these Questions

  • MOTION IN TWO AND THREE DIMENSIONS

    RESNICK AND HALLIDAY|Exercise PRACTICE QUESTIONS (SINGLE CORRECT CHOICE TYPE)|49 Videos
  • MOTION IN TWO AND THREE DIMENSIONS

    RESNICK AND HALLIDAY|Exercise PRACTICE QUESTIONS (MORE THAN ONE CORRECT CHOICE TYPE)|3 Videos
  • MOTION IN TWO AND THREE DIMENSIONS

    RESNICK AND HALLIDAY|Exercise CHECKPOINT|3 Videos
  • MOTION ALONG A STRAIGHT LINE

    RESNICK AND HALLIDAY|Exercise PRACTICE QUESTIONS ( Integer Type )|3 Videos
  • OSCILLATIONS

    RESNICK AND HALLIDAY|Exercise Practice Questions|57 Videos

Similar Questions

Explore conceptually related problems

The position vector for an electron is vecr=(6.0m)hati-(4.0m)hatj+(3.0m)hatk . (a) Find the magnitude of vecr .

Force vecF=(2.0N)hati-(3.0N)hatk acts on a pebble with position vector vecr=(0.50m)hatj-(2.0m)hatk relative to the origin. In unit-vector notation, what is the resulting torque on the pebble about the origin ?

The position of a particle is given by vecr = 3.01t hati +2. 0 t^2 hatj +5.0 hatk where t is in seconds and the coefficients have the proper units for vecr to be in metres. What is the magnitude and direction of velocity of the particle at t = 1 s? .

The position vector of a particle is given by vecr=(3t^(2)hati+4t^(2)hatj+7hatk)m at a given time t .The net displacement of the particle after 10 s is

A particle has an initial velocity 3hati+4hatj and an accleration of 0.4hati+0.3hatj . Its speed after 10s is

Velocity vector of a particle is given as vecv=4thati+3hatj At t=0 position of the particle is given as vecr_(0)=2hatj Find the position vector of the particle at t=2 sec and te average acceleration of the particle for t=0 to t=2sec.

An elementary particle is subjected to a displacement of Deltavecr=2.0hati-4.0hatj+8.0hatk , ending with the position vector vecr=4.0hatj-5.0hatk , in meters. What was the particle's initial position vector?

The position vectors of points A and B are hati - hatj + 3hatk and 3hati + 3hatj - hatk respectively. The equation of a plane is vecr cdot (5hati + 2hatj - 7hatk)= 0 The points A and B

A particle has an initial velocity of 3hati+ 4hatj and an acceleration of 0.4hati +0.3hatj Its speed after 10 s is

A force (hati-2hatj+3hatk) acts on a particle of positive vector (3hati+2hatj+hatk) . Calculat the torque acting on the particle.

RESNICK AND HALLIDAY-MOTION IN TWO AND THREE DIMENSIONS-PROBLEMS
  1. A train at a constant 60.0 km/h moves east for 40.0 min, then in a dir...

    Text Solution

    |

  2. An electron's position is given by vecr=3.00hati-4.00t^(2)hatj+2.00hat...

    Text Solution

    |

  3. In a particle accelerator, the position vector of a particle is initia...

    Text Solution

    |

  4. A plane flies 483 km east from city A to city B in 48.0 min and then 9...

    Text Solution

    |

  5. Figure 4-26 gives the path of a squirrel moving about on level ground,...

    Text Solution

    |

  6. The position vector vecr=5.00thati+(et+ft^(2))hatj locates a particle ...

    Text Solution

    |

  7. A particle that is moving in an xy plane has a position vector given b...

    Text Solution

    |

  8. At one instant a bicyclist is 30.0 m due east of a park's flagpole, go...

    Text Solution

    |

  9. An object moves in such a way that its position (in meters) as a funct...

    Text Solution

    |

  10. From the origin, a particle starts at t = 0 s with a velocity vecv=7.0...

    Text Solution

    |

  11. The velocity vecv of a particle moving in the xy plane is given by vec...

    Text Solution

    |

  12. A motorbike starts from the origin and moves over an xy plane with acc...

    Text Solution

    |

  13. The acceleration of a particle moving only on a horizontal xy plane is...

    Text Solution

    |

  14. In Fig. 4-28, particle A moves along the line y = 30 m with a constant...

    Text Solution

    |

  15. A small ball rolls horizontally off the edge of a tabletop that is 1.5...

    Text Solution

    |

  16. A shell, which is initially located at a distance of 40.4 m above a ho...

    Text Solution

    |

  17. A stone is catapulted at time t = 0, with an initial velocity of magni...

    Text Solution

    |

  18. A certain airplane has a speed of 290.0 km/h and is diving at an angle...

    Text Solution

    |

  19. In Fig. 4-30 a stone is projected at a cliff of height h with an initi...

    Text Solution

    |

  20. A projectile's launch speed is 6.00 times that of its speed at its max...

    Text Solution

    |