Home
Class 12
PHYSICS
A particle moves along x-axis. The posit...

A particle moves along `x`-axis. The position of the particle at time `t` is given as `x=t^(3)-9t^(2)+24t+1`. Find the distance traveled in first `5` seconds.

Text Solution

Verified by Experts

Distance Travelled
`=int_(0)^(5)|vecv|dt=int_(0)^(5)|3t^(2)-|8t+24|dt=28`.
Promotional Banner

Topper's Solved these Questions

  • TEST PAPERS

    BANSAL|Exercise PHYSICS PART (A)|32 Videos

  • TEST PAPERS

    BANSAL|Exercise PHYSICS PART (B)|3 Videos

  • TEST PAPERS

    BANSAL|Exercise PHYSICS PART- C|4 Videos

  • SEMICONDUCTORS

    BANSAL|Exercise CBSE Question|32 Videos

Similar Questions

Explore conceptually related problems

A particle moves along a straight line on y-axis. The distance of the particle from O varies with time and is given by : y = 20t - t^2 . The distance travelled by the particle before it momentarily comes to rest is

The position of a particle moving rectilinearly is given by x = t^3 - 3 t^2 - 10 . Find the distance travelled by the particle in the first 4 seconds starting from t = 0 .

A particle is moving along x-axis. The position of the particle at any instant is given by x = a + bt^(2)," where, "a = 6m and b =3.5 ms^(-2) , t is measurved in seconds. Find. Velocity of the particle at t = 0 and t = 3s

The position of a particle moving in a straight line is given by x=3t^(3)-18t^(2)+36t Here, x is in m and t in second. Then

The position of a particle moving in a string line is given by x = 3t^(3) - 18 t^(2) + 36 t Here, x is in m and t in second . Then

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:-

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

A particle moves along x-axis according to the law x=(t^(3)-3t^(2)-9t+5)m . Then :-

BANSAL-TEST PAPERS-PHYSICS
  1. A body of mass 3.14 kg is suspended from one end of a non uniform wire...

    Text Solution

    |

  2. Earth receives 1400 W//m^(2) of solar power. If all the solar energy f...

    Text Solution

    |

  3. A particle moves along x-axis. The position of the particle at time t ...

    Text Solution

    |

  4. A cone of radius r and height h is kept on a turntable rotating with a...

    Text Solution

    |

  5. A uniform rope of length 12m and mass 12kg hangs vertically from a rig...

    Text Solution

    |

  6. Two block-spring mass system are moving on smooth horizontal surface a...

    Text Solution

    |

  7. An elastic string has a force constant k and mass m. the string hangs ...

    Text Solution

    |

  8. A rod of mass 1kg and length 6.25 m is hinged at one end of a smooth h...

    Text Solution

    |

  9. Find longest wavelength in Lyman series of hydrogen atom spectrum.

    Text Solution

    |

  10. The de-Broglie wavelength of an electron moving in the nth Bohr orbit ...

    Text Solution

    |

  11. Calculate the half life period of a radioactive substance if its activ...

    Text Solution

    |

  12. The total energy of eletcron in the ground state of hydrogen atom is -...

    Text Solution

    |

  13. A heshly prepared radioactive source of half life 2 hrs emits radiatio...

    Text Solution

    |

  14. The average current due to an electron orbiting the proton in the n^(t...

    Text Solution

    |

  15. The radius of the shortest orbit in a one electron system is 18 pm it...

    Text Solution

    |

  16. If E1, E2 and E3 represent respectively the kinetic energies of an el...

    Text Solution

    |

  17. if the wavelength of first member of Lyman series is lambda then calcu...

    Text Solution

    |

  18. The X-ray beam coming from an X-ray tube

    Text Solution

    |

  19. A beam of ultraviolet light of all wavelength passes through hydrogen ...

    Text Solution

    |

  20. Photons are incident from vacuum on a transparent material with a refr...

    Text Solution

    |