Home
Class 11
PHYSICS
During n^(th) second of its motion a bod...

During `n^(th)` second of its motion a body covers a distance `S_n` with uniform acceleration 'a' and initial velocity 'u'. Show that
`(a= frac(2S_n - 2u)(2n-1))`

Promotional Banner

Topper's Solved these Questions

  • MOTION IN A PLANE

    R G PUBLICATION|Exercise EXERCISE|44 Videos
  • OSCILLATIONS

    R G PUBLICATION|Exercise EXERCISE|43 Videos

Similar Questions

Explore conceptually related problems

Prove that S_(uh) = u + frac(a)(2)(2n-1)

Check the following equation dimionisionaly correct or not. S_(nth) = u + frac(a)(2) (2n-1)

Derive an equation for the distance covered by a uniformly accelerated body in nth second of its motion.

The displacement equation of a particle moving along a straight line with uniform acceleration is x = v_0t + 1/2at^2 . Find the distance covered by the particle in the last second of its motion.

A motor car starting from rest travelled for 10 seconds with an uniform. acceleration of 5 m //s ^2 . What is the final velocity? Find the distance covered by the car.

A body moving with a uniform acceleration describes 12 m in third second of its motion and 20 m in the fifth second. Find the velocity after 10 seconds.

A sequence is given by a_n=2-3n .Prove that it is an AP.Find its 6th term.

if tantheta+sintheta=m and tantheta-sintheta=n show that (m^2-n^2)^2=16mn

A body moving with uniform acceleration attains velocity 25m/s after 5 seconds and 34 m/s after 8 second. Calculate the distance it covers in the 10th second.

In a G.P the sum of first n terms is S,the product is P and the sum of the reciprocals of the terms is R.Show that P^2=(S/R)^n .

R G PUBLICATION-MOTION IN A STRAIGHT LINE-EXERCISE
  1. A ball is projected vertically upward with a speed of 50 m/s. Find the...

    Text Solution

    |

  2. A ball is projected vertically upward with a speed of 50 m//s. Find (a...

    Text Solution

    |

  3. During n^(th) second of its motion a body covers a distance Sn with un...

    Text Solution

    |

  4. Explain the difference between distance and displacement with an examp...

    Text Solution

    |

  5. Derive acceleration from velocity-time graph.

    Text Solution

    |

  6. A stone falls from the top of a building and travels 53.9 m in the las...

    Text Solution

    |

  7. Explain the difference between distance and displacement with an examp...

    Text Solution

    |

  8. Derive acceleration from velocity-time graph.

    Text Solution

    |

  9. The motion of particle of mass m is given by y=ut+(1)/(2)"gt"^(2). Th...

    Text Solution

    |

  10. Deduce the equations of motion for constant acceleration using method ...

    Text Solution

    |

  11. A particle is moving in a straight line. Its displacement at any insta...

    Text Solution

    |

  12. Can a body have a constant speed and still have a varying velocity?

    Text Solution

    |

  13. What will be the nature of velocity time graph for a uniform motion?

    Text Solution

    |

  14. Under what conditions is the average velocity equal to instantaneous v...

    Text Solution

    |

  15. Can displacement be grater than distance travelled by an object?

    Text Solution

    |

  16. Draw the position-time graph of a stationary object.

    Text Solution

    |

  17. Under which condtion the distance travelled by a body is equal to the ...

    Text Solution

    |

  18. Two straight line draw on the same displacement-time graph make angle ...

    Text Solution

    |

  19. A person travelling on a straight line moves with a uniform velocity v...

    Text Solution

    |

  20. The position of a moving particle is given by x = 6 + 18t + 9t^2 wher...

    Text Solution

    |