Home
Class 12
PHYSICS
Assertion: If the positon vector of a pa...

Assertion: If the positon vector of a particle moving in space is given by `vecr=2thati-4t^(2)hatj`, then the particle moves along a parabolic trajector.
Reason: `vecr=xhati+yhatj` and `vecr=2thati-4t^(2)j`
`rArr y=-x^(2)`.

A

If both assertion `&` Reason are True `&` the Reason is a corrrect explanation of the Asserion.

B

If both Assertion `&` Reason are True but Reason is not correct explanation of the Assertion.

C

If Assertion is Trie but the Reason is False.

D

If both Assertion `&` Reason are false

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MOTION IN A PALNE

    ALLEN |Exercise SOLVED EXAMPLE|28 Videos

  • MOTION IN A PALNE

    ALLEN |Exercise EXERCISE-2|170 Videos

  • KINEMATICS-2D

    ALLEN |Exercise Exercise (O-2)|47 Videos

  • NEWTON'S LAWS OF MOTION & FRICTION

    ALLEN |Exercise EXERCISE (JA)|4 Videos

Similar Questions

Explore conceptually related problems

Position of particle moving along x-axis is given as x=2+5t+7t^(2) then calculate :

The coordinates of a particle moving in XY-plane very with time as x=4t^(2),y=2t . The locus of the particle is

Position of a particle moving along x-axis is given by x=2+8t-4t^(2) . The distance travelled by the particle from t=0 to t=2 is:-

If the velocity of a particle moving along x-axis is given as v=(3t^(2)-2t) and t=0, x=0 then calculate position of the particle at t=2sec.

If the velocity of a paraticle moving along x-axis is given as v=(4t^(2)+3t=1)m//s then acceleration of the particle at t=1sec is :

The position of a particle moving along a straight line is given by x =2 - 5t + t ^(3). Find the acceleration of the particle at t =2 s. (x is metere).

The position vector of car w.r.t. its starting point is given as vecr="at" hati+bt^(2)hatj where a and b are positive constants. find the equation of trajectory :-

The displacement of particle along the X-axis is given by x= a sin^(2) omega t . The motion of the particle corresponds 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 co-ordinates of a moving particle at any time t are given by x=ct^(2) and y=bt^(2) The speed of the particle is

ALLEN -MOTION IN A PALNE-EXERCISE-3
  1. Assertion: Distance is a actual length of the path but displacement is...

    Text Solution

    |

  2. Assertion: Rest of a body is a relative term. Reason: Motion of a bo...

    Text Solution

    |

  3. Assertion: If a body moves on a straight line, magnitude of its displa...

    Text Solution

    |

  4. Assertion: Separation between two bodies moving in the same direction ...

    Text Solution

    |

  5. Assertion: To cross the river in minimum time swimmer should swimming ...

    Text Solution

    |

  6. Assertion: A body moving with constant acceleration always travels equ...

    Text Solution

    |

  7. Assertion: A body,whatever its motion, is always at rest in a frame of...

    Text Solution

    |

  8. Assertion : A body droped from a given height and another body project...

    Text Solution

    |

  9. Statement-I : A projectile is thrown with an initial velocity of (ahat...

    Text Solution

    |

  10. Assertion: If the positon vector of a particle moving in space is give...

    Text Solution

    |

  11. Assertion: In projectile motion, when horizontal range is n times the ...

    Text Solution

    |

  12. Assertion: Path of projected ball becomes parabolic in gravitational f...

    Text Solution

    |

  13. Assertion: In projectile motion, the acceleration is constant in both ...

    Text Solution

    |

  14. Assertion: In projectile motion horizontal velocity remains same but v...

    Text Solution

    |

  15. Assertion: In projectile motion, the vertical velocity of the particle...

    Text Solution

    |

  16. Assertion: The path of one projectile as seen for another projectile i...

    Text Solution

    |

  17. Assertion: In case of projectile motion, acceleration horizontal compo...

    Text Solution

    |

  18. Assertion: In the projectile motion projected boyd behave just like a ...

    Text Solution

    |

  19. Assertion: Projectile motion is uniformly accelerated motion. (Neglect...

    Text Solution

    |

  20. Assertion: Horizontal range is same for angle of projection theta and...

    Text Solution

    |