Home
Class 11
PHYSICS
For any arbitrary motion in space , whic...

For any arbitrary motion in space , which of the following relations are true : (a) `V_("average")=(1//2)(v(t_(1))+v(t_(2)))`
(b) `V_("average")=[r(t_(2))-r(t_(1))]//(t_(2)-t_(1))`
(c ) `V(t)=V(0)+at`
(d) `r(t) =r(0)+v(0)T+(1//2)at^(2)`
(e ) `a_("average")=[v(t_(2))-v(t_(1))]//(t_(2)-t_(1))`
(The average stands for average of the quantity over the time interval `t_(1)" to "t_(2))`

Text Solution

Verified by Experts

The correct Answer is:
(b) and (e )
Promotional Banner

Topper's Solved these Questions

  • MOTION IN A PLANE

    NCERT TELUGU|Exercise EXCERCISES|30 Videos
  • MECHANICAL PROPERTIES OF SOLIDS

    NCERT TELUGU|Exercise Exercises|21 Videos
  • MOTION IN A STRAIGHT LINE

    NCERT TELUGU|Exercise ADDITIONAL EXERCISES|5 Videos

Similar Questions

Explore conceptually related problems

Following are four different relation about displacement,velocity and acceleration for the motion of a particle in general.Choose the incorrect one (S). a) V_(av)=(1)/(2)[v(t_(1))+v(t_(2))] b) V_(av)=(r(t_(2))-r(t_(2)))/(t_(2)-t_(1)) c)r= (1)/(2)(v(t_(2))-v(t_(1))(t_(2)-t_(1)) d) a_(av)=(v(t_(2))-v(t_(1)))/(t_(2)-t_(1))

The velocity-time graph of a particle in one-dimensional motion is shown in Fig. Which of the following formulae are correct for describing the motion of the particle over the time-interval t_(1) to t_(2) : (a) x(t_(2))=x(t_(1))+upsilon(t_(1))(t_(2)-t_(1))+(1//2)a(t_(2)-t_(1))^(2) (b) upsilon(t_(2))=upsilon(t_(1))+a(t_(2)-t_(1)) (c ) upsilon_("average")=(x(t_(2))-x(t_(1)))//(t_(2)-t_(1)) (d) a_("average")=(upsilon(t_(2))-upsilon(t_(1)))//(t_(2)-t_(1)) (e ) x(t_(2))=x(t_(1))+upsilon_("average")(t_(2)-t_(1))+(1//2)a_("average")(t_(2)-t_(1))^(2) (f) x(t_(2))-x(t_(1))= area under the upsilon-t curve bounded by the t-axis and the dotted line shown.

Here T_(1) and T_(2) are

NCERT TELUGU-MOTION IN A PLANE-EXCERCISES
  1. A passenger arriving in a new town wishes to go from the station to a ...

    Text Solution

    |

  2. Rain is falling vertically with a speed of 30 ms^(-1) . A woman rides ...

    Text Solution

    |

  3. A man can swim with a speed of 4.0 km/h in still water . How long doe...

    Text Solution

    |

  4. In a harbour , wind is blowing at the speed of 72 km/h and the flag on...

    Text Solution

    |

  5. The celling of a long hall is 25 m high What is the maximum horizontal...

    Text Solution

    |

  6. A cricketer can throw a ball to a maximum horizontal distance of 100 m...

    Text Solution

    |

  7. A stone tied to the end of astring 80 cm long is whirled in a horizon...

    Text Solution

    |

  8. An aircraft executes a horizontal loop of radius 1.00 km with a steady...

    Text Solution

    |

  9. Read each statement below carefully and state , with reasons , if it i...

    Text Solution

    |

  10. The position of a particle is given by r=3.0hati-2.0t^(2)hatj+4.0...

    Text Solution

    |

  11. A particle starts from the origin at t=0 s with a velocity of 10.0hatj...

    Text Solution

    |

  12. hatiandhatj are unit vectors along x - and y- axis respectively . What...

    Text Solution

    |

  13. For any arbitrary motion in space , which of the following relations a...

    Text Solution

    |

  14. Read each statement below acrefully and state , with reasons and exam...

    Text Solution

    |

  15. An aircraft is flying at a height of 3400 m above the ground . If th...

    Text Solution

    |

  16. A vector has both magnitude and direaction . Does it mean that anythin...

    Text Solution

    |

  17. Can you associate vectors with (a) the length of a wire bent into a lo...

    Text Solution

    |

  18. A bullet fired at an angle of 30^(@) with the horizontal hits the grou...

    Text Solution

    |

  19. A fighter plane flying horizontally at an altitude of 1.5 km with spe...

    Text Solution

    |

  20. A cyclist is riding with a speed of 27 km /h . As he approaches a circ...

    Text Solution

    |