Home
Class 12
PHYSICS
A particle is moving along x-axis with a...

A particle is moving along x-axis with acceleration `a=a_(0)(1-t//T)` where `a_(0)` and T are constants. The particle at t=0 has zero velocity. Calculate the average velocity between t=0 and the instant when a=0

Text Solution

Verified by Experts

`(a_(0)T)/(2)`
Promotional Banner

Topper's Solved these Questions

  • Motion in Straight Line

    VMC MODULES ENGLISH|Exercise IN-CHAPTER EXERCISE-A|11 Videos
  • Motion in Straight Line

    VMC MODULES ENGLISH|Exercise IN-CHAPTER EXERCISE-B|10 Videos
  • Motion in Straight Line

    VMC MODULES ENGLISH|Exercise SOLVED EXAMPLES|20 Videos
  • MOTION IN A STRAIGHT LINE & PLANE

    VMC MODULES ENGLISH|Exercise IMPECCABLE|52 Videos
  • Motion in Two Dimensions

    VMC MODULES ENGLISH|Exercise MCQ|2 Videos

Similar Questions

Explore conceptually related problems

A particle moving along x-axis has acceleration f , at time t , given by f = f_0 (1 - (t)/(T)) , where f_0 and T are constant. The particle at t = 0 has zero velocity. In the time interval between t = 0 and the instant when f = 0 , the particle's velocity (v_x) is :

A particle moving along x-axis has acceleration f , at time t , given by f = f_0 (1 - (t)/(T)) , where f_0 and T are constant. The particle at t = 0 has zero velocity. In the time interval between t = 0 and the instant when f = 0 , the particle's velocity (v_x) is :

The displacement (in metre) of a particle moving along x-axis is given by x=18t +5t^(2) . Calculate (i) the instantaneous velocity t=2 s (ii) average velocity between t=2 s to t=3 s (iii) instantaneous acceleration.

The instantaneous velocity of a particle moving in a straight line is given as a function of time by: v=v_0 (1-((t)/(t_0))^(n)) where t_0 is a constant and n is a positive integer . The average velocity of the particle between t=0 and t=t_0 is (3v_0)/(4 ) .Then , the value of n 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.

A particle of mass m is moving along the line y-b with constant acceleration a. The areal velocity of the position vector of the particle at time t is (u=0)

A particle is moving along x-axis such that its velocity varies with time according to v=(3m//s^(2))t-(2m//s^(3))t^(2) . Find the velocity at t = 1 s and average velocity of the particle for the interval t = 0 to t = 5 s.

A particle is moving in a circle of radius R with constant speed. The time period of the particle is T. In a time t=(T)/(6) Average velocity of the particle is…..

A particle is moving with a position vector, vec(r)=[a_(0) sin (2pi t) hat(i)+a_(0) cos (2pi t) hat(j)] . Then -

A particle moves along the x-direction with constant acceleration. The displacement, measured from a convenient position, is 2 m at time t= 0 and is zero when t= 10 s. If the velocity of the particle is momentary zero when t = 6 s, determine the acceleration a and the velocity v when t= 10s.

VMC MODULES ENGLISH-Motion in Straight Line -PRACTICE EXERCISE
  1. The position of a particle moving on x-axis is given by x = At^(2) + B...

    Text Solution

    |

  2. The position of a particle moving on x-axis is given by x = At^(2) + B...

    Text Solution

    |

  3. A particle is moving along x-axis with acceleration a=a(0)(1-t//T) whe...

    Text Solution

    |

  4. A particle starts from the rest, moves with constant acceleration for ...

    Text Solution

    |

  5. The engine of a train passes an electric pole with a velocity 'u' and ...

    Text Solution

    |

  6. A bullet loses ((1)/(n)) ^(th ) of its velocity passing through one pl...

    Text Solution

    |

  7. A car moving along a straight highway with speed of 126 km h^(-1) is b...

    Text Solution

    |

  8. A car is moving with speed u. Driver of car sees a traffic light. His ...

    Text Solution

    |

  9. If a body starts from rest and travels 120 cm in the 6th second, then ...

    Text Solution

    |

  10. A particle is projected vertically upwards from ground with velocity 1...

    Text Solution

    |

  11. A ball is thrown vertically up from the top of a tower with velocity 1...

    Text Solution

    |

  12. A particle is projected vertically upwards from the top of tower with ...

    Text Solution

    |

  13. A particle is projected vertically upwards from the top of tower with ...

    Text Solution

    |

  14. A particle is projected vertically up from the top of a tower with vel...

    Text Solution

    |

  15. A balloon starts rising from the ground with an acceleration of 1.25 m...

    Text Solution

    |

  16. A balloon starts rising from the ground with a constant acceleration o...

    Text Solution

    |

  17. A particle is dropped from the top of a tower. During its motion it co...

    Text Solution

    |

  18. A particle is dropped from the top of a tower. It covers 40 m in last ...

    Text Solution

    |

  19. A player throws a ball upwards with an initial speed of 29.4" ms"^(–1)...

    Text Solution

    |

  20. A player throws a ball upwards with an initial speed of 29.4 ms^(-1). ...

    Text Solution

    |