Home
Class 12
PHYSICS
The position vector of a aprticle is giv...

The position vector of a aprticle is given as `vecr=(t^2-4t+6)hati+(t^2)hatj`. The time after which the velocity vector and acceleration vector becomes perpendicular to each other is equal to

A

1 sec

B

2 sec

C

1.5 sec

D

not possible

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • KINEMATICS

    MOTION|Exercise EXERCISE 2 OBJECTIVE PROBLEMS (Level-2)|26 Videos
  • KINEMATICS

    MOTION|Exercise EXERCISE 3 SUBJECTIVE PROBLEMS (Level-1)|20 Videos
  • KINEMATICS

    MOTION|Exercise EXERCISE 1 OBJECTIVE PROBLEMS|103 Videos
  • HYDROSTATIC, FLUID MECHANICS & VISCOSITY

    MOTION|Exercise EXERCISE -3 (SECTION-B) PREVIOUS YEAR PROBLEM|7 Videos
  • KINETIC THEORY OF GASES

    MOTION|Exercise EXERCISE-3 SECTION-B|16 Videos

Similar Questions

Explore conceptually related problems

The position vector of a particle is given by vecr=(2 sin 2t)hati+(3+ cos 2t)hatj+(8t)hatk . Determine its velocity and acceleration at t=pi//3 .

The position vector of a particle is vecr=2t^(2)hatx+3thaty+4ghatz Then the instantaneous velocity vecv and acceleration veca respectively lie

The position vector of a particle is given by vec r = (2t hati+5t^(2)hatj)m (t is time in sec). Then the angle between initial velocity and initial acceleration is

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

The position of a particel is expressed as vecr = ( 4t^(2)hati + 2thatj) m. where t is time in second. Find the acceleration of the particle.

The position vector of a particle is r = a sin omega t hati +a cos omega t hatj The velocity of the particle is

The position vector of a partcle vecr(t)=15t^(2)hati+(4-20t^(2))hatj . What is the magnitude of the acceleration (in m//s^(2) ) at t=1?

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

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 Acceleration of the particle is

The position vector of an object at any time t is given by 3t^(2) hati +6t hayj +hatk . Its velocity along y-axis has the magnitude

MOTION-KINEMATICS-EXERCISE 2 OBJECTIVE PROBLEMS
  1. A semicircle of radius R = 5m with diameter AD as shown in figure. Two...

    Text Solution

    |

  2. An insect moving along a straight line, travels in every second distan...

    Text Solution

    |

  3. The position vector of a aprticle is given as vecr=(t^2-4t+6)hati+(t^2...

    Text Solution

    |

  4. Each of the four particles move along an x axis. Their coordinates (in...

    Text Solution

    |

  5. A stone is dropped into a well. If the depth of water below the top be...

    Text Solution

    |

  6. A ball is thrown vertically down with velocity of 5m/s. With what velo...

    Text Solution

    |

  7. A particle is projected vertically upwards from a point A on the groun...

    Text Solution

    |

  8. Balls are thrown vertically upwards in such a way that the next ball i...

    Text Solution

    |

  9. A disc arranged in a vertical plane has two groves of same length dire...

    Text Solution

    |

  10. A stone is projected vertically upwards y=0 second. The net displaceme...

    Text Solution

    |

  11. A stone is dropped from the top of building and at the same time a sec...

    Text Solution

    |

  12. A man moves in x-y plane along the path shown. At what points is his a...

    Text Solution

    |

  13. The acceleration of a particle which moves along the positive x-axis v...

    Text Solution

    |

  14. The x-t graph of particle moving along a straight line is shown in fi...

    Text Solution

    |

  15. The x-t graph of a particle moving along a straight line is shown in f...

    Text Solution

    |

  16. The x-t graph of a particle moving along a straight line is shown in f...

    Text Solution

    |

  17. The figure shows a velocity-time graph of a particle moving along a st...

    Text Solution

    |

  18. The figure shows a velocity-time graph of a particle moving along a st...

    Text Solution

    |

  19. The figure shows a velocity-time graph of a particle moving along a st...

    Text Solution

    |

  20. The figure shows a velocity-time graph of a particle moving along a st...

    Text Solution

    |