Home
Class 11
PHYSICS
A particle is moving with a velocity v(t...

A particle is moving with a velocity `v(t) = Ct^3` along a straight path.
Find the average speed in a time T.

Text Solution

Verified by Experts

`v_(av) = 1/T int_0^T v(t)dt = 1/T int_0^TCt^3dt`
Promotional Banner

Topper's Solved these Questions

  • KINEMATICS - II

    PATHFINDER|Exercise QUESTION BANK|188 Videos

  • KINETIC THEORY OF GASES

    PATHFINDER|Exercise QUESTION BANK|15 Videos
PATHFINDER-KINEMATICS-I-QUESTION BANK
  1. Position of a particle varies with time (t) as x= (2t^2 - 5t^3)m in a ...

    Text Solution

    |

  2. The acceleration of a particle moving rectilinearly varies with the ma...

    Text Solution

    |

  3. A particle is moving with a velocity v(t) = Ct^3 along a straight path...

    Text Solution

    |

  4. Consider a particle initially moving with a velocity of 5 m/s starts d...

    Text Solution

    |

  5. Consider a particle initially moving with a velocity of 5 m/s starts d...

    Text Solution

    |

  6. Two particles are simultaneously projected upwards from the top and bo...

    Text Solution

    |

  7. Show that a given gun will shoot three times as high when elevated at ...

    Text Solution

    |

  8. A body is projected up such that its position vector varies with time ...

    Text Solution

    |

  9. A body is projected up such that its position vector varies with time ...

    Text Solution

    |

  10. A particle is projected at an angle theta0 = 60^@ with horizontal, aft...

    Text Solution

    |

  11. A steam boat goes across a lake and comes back (a) on a quiet day when...

    Text Solution

    |

  12. An open lift is moving upwards with velocity 10 ms. it has an upward a...

    Text Solution

    |

  13. A man can row a boat with 4km/h in still water, If he is crossing a ri...

    Text Solution

    |

  14. The drivers of a train travelling at 115 km/hr sees on the same track ...

    Text Solution

    |

  15. A jet airplane travelling at the speed of 500 km/ h ejects its product...

    Text Solution

    |

  16. A police van moving ona highway with a speed of 30 km/h fires a bullet...

    Text Solution

    |

  17. Two trains A and B of length 400 m each are moving on two parallel tra...

    Text Solution

    |

  18. A player throws a ball upwards with an initial speed of 29.4 m/s. What...

    Text Solution

    |

  19. A player throws a ball upwards with an initial speed of 29.4 m/s. What...

    Text Solution

    |

  20. A ball is dropped vertically from a height d above the ground. It hits...

    Text Solution

    |