Home
Class 11
PHYSICS
The coordinates of a moving particle at ...

The coordinates of a moving particle at any time 't' are given by `x= alpha t^(3)` and `y= beta t^(3)`. The speed of the particle at time 't' is given by

A

`3t sqrt(alpha^(2)+beta^(2))`

B

`3t^(2) sqrt(alpha^(2)+beta^(2))`

C

`t^(2) sqrt(alpha^(2)+beta^(2))`

D

`sqrt(alpha^(2)+beta^(2))`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • KINEMATICS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL-I I) (LECTURE SHEET (ADVANCED)) (Straight Objective Type Questions)|6 Videos

  • KINEMATICS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL-I I) (LECTURE SHEET (ADVANCED)) (More than One correct answer Type Questions)|3 Videos

  • KINEMATICS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-VIII) (Problmes on Calculus ) (LEVEL-II) (Straight Objective Type Questions)|5 Videos

  • HORIZONTAL CIRCULAR MOTION

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (PRACTICE SHEET (ADVANCED) Integer Type Questions)|3 Videos

  • KINETIC THEORY OF GASES

    AAKASH SERIES|Exercise Practice Exercise|15 Videos

Similar Questions

Explore conceptually related problems

The position of a point in time 't' is given by x = 1 + 2t + 3t^(2) and y = 2 - 3t + 4t^(2) . Then its acceleration at time 't' is

The displacement of a particle in time 't' is given by S = t^(3) - t^(2) - 8t =18 . The acceleration of the particle when its velocity vanishes is

The position x of a particle varies with time t as x=at^(2)-bt^(3) .The acceleration of the particle will be zero at time t equal to

The momentum of a body in two perpendicular direction at any time 't' are given by P_(x) =2t^(2) + 6 and P_(y) = (3t^(2))/2 + 3 . The force acting on the body at t= 2 sec is

AAKASH SERIES-KINEMATICS-ADDITIONAL PRACTICE EXERCISE (LEVEL-I (MAIN)) (Straight Objective Type Questions)
  1. Two cars left place A simultanecously and reached the place B in 2 hr...

    Text Solution

    |

  2. A particle moving with uniform retardation covers distances 18m, 14m ...

    Text Solution

    |

  3. The coordinates of a moving particle at any time 't' are given by x= a...

    Text Solution

    |

  4. The position x of a particle varies with time t as x= at^(2)-bt^(3). T...

    Text Solution

    |

  5. The acceleration 'a' in m//s^(2) of a particle is given by a= 3t^(2)+2...

    Text Solution

    |

  6. A car accelerates from rest at a constant rate alpha for some time, af...

    Text Solution

    |

  7. Two cars start off to race velocity 4 m/s and 2 m/s & travel in straig...

    Text Solution

    |

  8. A stone is dropped into a well of 20 m deep. Another stone is thrown d...

    Text Solution

    |

  9. A body is projected up with velocity u. It reaches a point in its path...

    Text Solution

    |

  10. A ball is projected from the bottom of a tower and is found to go abov...

    Text Solution

    |

  11. Two balls are dropped to the ground from different height . One ball ...

    Text Solution

    |

  12. A bullet fired vertically up from the ground reaches a height 40 m in ...

    Text Solution

    |

  13. A stone is thrown vertically upward with a speed of 10.0 ms^(-1) from ...

    Text Solution

    |

  14. An object reaches a maximum vertical height of 23.0 m when thrown ver...

    Text Solution

    |

  15. The distance travelled by a falling body in the last second of its mot...

    Text Solution

    |

  16. A body is projected with velocity u such that its horizontal range and...

    Text Solution

    |

  17. Two bodies are thrown from the same point with the same velocity of 50...

    Text Solution

    |

  18. The equation of trajectory ofa projectile is y = 10x-5/9x^2 If we assu...

    Text Solution

    |

  19. A projectile is thrown at an angle of 30^(@) with a velocity of 10m/s,...

    Text Solution

    |

  20. A hose pipe lying on the ground shoots a stream of water upward at an ...

    Text Solution

    |