Home
Class 12
PHYSICS
The position vector of a particle is det...

The position vector of a particle is deternined by the expression `vecr=3t^2hati+4t^2hatj+7hatk` The distance traversed in first 10 sec is

A

100 m

B

150 m

C

500 m

D

300 m

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

The position vector of a particle is determined by the expression vec r = 3t^2 hat i+ 4t^2 hat j + 7 hat k . The displacement traversed in first 10 seconds is :

The position vector of a particle is determined by the expression vecr=2t^(2) hati+ 3thatj + 9hatk . The magnitude of its displacement ( in m) in first two seconds is

Position vector of a particle moving in space is given by : vec(r)=3sin t hat i+3 cos t hatj+4 t hatk Distance travelled by the particle in 2s is :

The position vector of a moving particle at't' sec is given by vecr = 3hati + 4t^(2)hatj - t^(3)hatk . Its displacement during an interval of t = Is to 3 sec is

The position of a particle is given by vecr = 3t hati + 2t^(2) hatj + 5hatk , where t is in seconds and the coefficients have the proper units for vecr to be in meters. The direction of velocity of the particle at t = 1 s is

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

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

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

The position of a particle is defined by vec r = 2sin((pi)/(4))t hati + 2cos((pi)/(4))t hatj+3t hatk , where 't' is in seconds. Then distance travelled by particle in 2 second motions is. [use pi^(2) = 10]

The position of a particle is expressed as vecr = ( 4t^(2) hati + 2thatj) m, where t is time in second. Find the velocity o the particle at t = 3 s

ALLEN-KINEMATICS-2D-Exercise (O-2)
  1. A particle is moving in the x-y plane. At certain instant of time, the...

    Text Solution

    |

  2. A particle leaves the origin with an lintial veloity vec u = (3 hat i...

    Text Solution

    |

  3. The position vector of a particle is deternined by the expression vecr...

    Text Solution

    |

  4. A point moves in x-y plane according to the law x=4 sin 6t and y=4 (1-...

    Text Solution

    |

  5. A particle moves in the x-y plane. It x and y coordinates vary with ti...

    Text Solution

    |

  6. Particle is dropped from the height of 20 m on horizontal ground. Ther...

    Text Solution

    |

  7. A particle is fired with velocity u making angle theta with the horizo...

    Text Solution

    |

  8. A particle is projected an angle of 45^(@) from 8m before the foot of ...

    Text Solution

    |

  9. A ball was thrown by a boy a at angle 60^(@) with horizontal at height...

    Text Solution

    |

  10. A light body is projected with a velocity (10hat(i)+20 hat(j)+20 hat(k...

    Text Solution

    |

  11. A particle is ejected from the tube at A with a velocity V at an angle...

    Text Solution

    |

  12. A stone is projected from point P on the inclined plane with velocity ...

    Text Solution

    |

  13. In the time taken by the projectile to reach from A to B is t. Then th...

    Text Solution

    |

  14. A particle is projected from a point P(2,0,0) m with a velocity 10 m//...

    Text Solution

    |

  15. A body A is thrown vertically upwards with such a velocity that it rea...

    Text Solution

    |

  16. An object moves to the East across a frictionless surface with constan...

    Text Solution

    |

  17. A particle is thrown from a stationary platform with velocity v at an ...

    Text Solution

    |

  18. On a particular day rain drops are falling vertically at a speed of 5 ...

    Text Solution

    |

  19. A 2m wide truck is moving with a uniform speed v(0)=8m//s along a stra...

    Text Solution

    |

  20. Man A sitting in a car moving with 54km//hr observes man B in front of...

    Text Solution

    |