Home
Class 12
PHYSICS
A body is moving with variable acceleart...

A body is moving with variable acceleartion (a) along a straight line. The average acceleration of body in time interval `t_(1)" to "t_(2)` is :-

A

`(a[t_(2)+t_(1)])/(2)`

B

`(a[t_(2)-t_(1)])/(2)`

C

`(underset(t_(1))overset(t_(2))int"a dt")/(t_(2)+t_(1))`

D

`(underset(t_(1))overset(t_(2))int"a dt")/(t_(2)-t_(1))`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • RACE

    ALLEN|Exercise Basic Maths (NEWTONS LAWS OF MOTION)|44 Videos

  • RACE

    ALLEN|Exercise Basic Maths (FRICTION)|11 Videos

  • RACE

    ALLEN|Exercise Basic Maths (Units, Dimensions & Measurements)|33 Videos

  • NEWTONS LAWS OF MOTION

    ALLEN|Exercise EXERCISE-III|28 Videos

  • SIMPLE HARMONIC MOTION

    ALLEN|Exercise Example|1 Videos

Similar Questions

Explore conceptually related problems

A particle move with a velocity v=alpha t^(3) along a straight line.The average velocity in time interval t=0 to t=T is

The speed - time graph for a body moving along a straight line is shown in figure. The average acceleration of body may be

The position (x) of a particle moving along x - axis veries with time (t) as shown in figure. The average acceleration of particle in time interval t = 0 to t = 8 s is

A particle move with a velocity v=alpha t^(3) along a straight line.The average velocity in time interval t=0 to t=T is (A) alphaT^(3) (B) (alpha T^(3))/(2) (C) (alpha T^(3))/(3) (D) (alpha T^(3))/(4)

Acceleration time graph of a particle moving along a straight line is given. Then average acceleration between t=0 & t=4 is :-

The displacement (in metre) of a particle moving along X-axis is given by x=18t+5t^(2) . The average acceleration during the interval t_(1)=2s and t_(2)=4s is

For a body moving with uniform acceleration along straight line, the variation of its velocity (v) with position (x) is best represented by

A particle moves with a velocity v(t)= (1/2)kt^(2) along a straight line . Find the average speed of the particle in a time t.

The position (x) - time (t) graph for a particle moving along a straight line is shown in figure. The average speed of particle in time interval t = 0 to t = 8 s is

ALLEN-RACE-Basic Maths (KINEMATICS)
  1. If body having initial velocity zero is moving with uniform accelerati...

    Text Solution

    |

  2. A trian starts from rest from a station with acceleration 0.2 m/s^(2) ...

    Text Solution

    |

  3. A body is moving with variable acceleartion (a) along a straight line....

    Text Solution

    |

  4. A particla starting from rest undergoes acceleration given by a=|t-2|"...

    Text Solution

    |

  5. A particle moves in a straight line and its position x at time t is g...

    Text Solution

    |

  6. A car is moving with a velocity of 10 m/s. Suddenly driver sees a chil...

    Text Solution

    |

  7. A body moving with uniform acceleration covers a distance of 14 m in f...

    Text Solution

    |

  8. A particle starts from rest with uniform acceleration a. Its velocity...

    Text Solution

    |

  9. A car starts from rest and moves with uniform acceleration for time t ...

    Text Solution

    |

  10. A particle starts from rest accelerates at 2 m//s^2 for 10 s and then ...

    Text Solution

    |

  11. A body is projected vertically upward with speed 40m/s. The distance t...

    Text Solution

    |

  12. A body is thrown vertically upwards and takes 5 seconds to reach maxim...

    Text Solution

    |

  13. A ball is dropped from a height h above ground. Neglect the air resist...

    Text Solution

    |

  14. A ball is thrown upward from edge of a cliff with an intial velocity o...

    Text Solution

    |

  15. A body projected vertically upwards, reaches a height of 180 m. Find o...

    Text Solution

    |

  16. A particle is projected vertically upwards from the earth. It crosses ...

    Text Solution

    |

  17. A body is dropped from the top of a tower and it covers a 80 m distanc...

    Text Solution

    |

  18. A particle when projected vertically upwards from the ground, takes ti...

    Text Solution

    |

  19. Water drops are falling from a tip at regular time intervals. When the...

    Text Solution

    |

  20. A body is dropped from a tower. It covers 64% distance of its total he...

    Text Solution

    |