Home
Class 12
PHYSICS
A ball dropped from the top of a tower c...

A ball dropped from the top of a tower covers a distance `7x` in the last second of its journey, where `x` is the distance covered in the first second. How much time does it take to reach to ground?.

Text Solution

Verified by Experts

The correct Answer is:
`-3hat(k) rad//s^(2), -2hat(k) rad//s`

`vec(a_(1))=6hat(i)=vec(alpha)xxvec(R)=vec(alpha)xx2hat(j)rArr vec(alpha)=-3hat(k) rad//s^(2)`
`vec(a_(r))=-8hat(j)=vec(omega)xxvec(v)=vec(omega)xx(omegaR)hat(i) rArr vec(omega)=-2hat(k) rad//s`
Promotional Banner

Topper's Solved these Questions

  • MOTION IN A PALNE

    ALLEN |Exercise Exercise-04[B]|14 Videos
  • MOTION IN A PALNE

    ALLEN |Exercise Exercise-05 [A]|11 Videos
  • MOTION IN A PALNE

    ALLEN |Exercise Comprehension#7|3 Videos
  • KINEMATICS-2D

    ALLEN |Exercise Exercise (O-2)|47 Videos
  • NEWTON'S LAWS OF MOTION & FRICTION

    ALLEN |Exercise EXERCISE (JA)|4 Videos

Similar Questions

Explore conceptually related problems

A ball is dropped from the roof of a tower height h . The total distance covered by it in the last second of its motion is equal to the distance covered by it in first three seconds. The value of h in metre is (g=10m//s^(2))

A body is dropped from the top of a tower and it covers a 80 m distance in last two seconds of its journey. Find out [g=10 ms^(-2)] (i) height of the tower (ii) time taken by body to reach the ground (iii) the velocity of body when it hits the ground

A particle is dropped from the top of a tower. It covers 40 m in last 2s. Find the height of the tower.

A stone falls freely such that the distance covered by it in the last second of its motion is equal to the distance covered by it in the first 5 seconds. It remained in air for :-

A body is dropped from a tower. It covers 64% distance of its total height in last second. Find out the height of tower [g=10 ms^(-2)]

An insect starts from a point and travels in a straight path 1 mm in the first second and half of the distance covered in the previous second in the succeeding second. In how much time would it reach a point 3 mm away from its starting point.

A particle is dropped from the top of a tower. During its motion it covers (9)/(25) part of height of tower in the last 1 second Then find the height of tower.

If a ball is thrown vertically upwards with speed u , the distance covered during the last t second of its ascent is

A rain drop of radius 2 mm falls from a height of 500 m above the ground .It falls with decreasing acceleration (due to viscous resistance of the air) until at half its original height , it attains its maximum (terminal) speed, and moves with uniform speed thereafter .What is the work done by the gravitational force on the drop in the first and second half of its journey ?What is the work done by the resistive force in the entire journey if its speed on reaching the ground is 1 ms^(-1) ?

An object falls freely from rest. It covers the same distance in last second. Which is covered in first 3 seconds, then in .............., it will reach the ground.

ALLEN -MOTION IN A PALNE-EXERCISE-04[A]
  1. A rocket is projected vertically upwards and its time velocity graph i...

    Text Solution

    |

  2. In the previous question, the height attained by the rocket before dec...

    Text Solution

    |

  3. In the previous question, the mean velocity of the rocket reaching the...

    Text Solution

    |

  4. In above question the retardation of rocket is:-

    Text Solution

    |

  5. In the above question, the acceleration of the rocket is :

    Text Solution

    |

  6. In above question the rocket goes up and get down on the following par...

    Text Solution

    |

  7. A particle moves as shown in the following figure 1.104: From the...

    Text Solution

    |

  8. A ball is dropped from the certain height on the surface of glass. It ...

    Text Solution

    |

  9. A particle start from rest, with uniform acceleration at time t, choos...

    Text Solution

    |

  10. For body of 50 kg. mass, the velocity time graph is shown in figure. T...

    Text Solution

    |

  11. A body is released from the top of a tower of height h. It takes t sec...

    Text Solution

    |

  12. A ball dropped from the top of a tower covers a distance 7x in the las...

    Text Solution

    |

  13. A body is falling from height 'h' it takes t(1) time to rech the groun...

    Text Solution

    |

  14. The velocity of a particle moving in the positive direction of the x a...

    Text Solution

    |

  15. Two balls are dropped from different heights at different instants. Se...

    Text Solution

    |

  16. Drops of water fall from the roof of a building 9m. High at regular in...

    Text Solution

    |

  17. Two balls are thrown simultaneously, A vetically upwards with a speed ...

    Text Solution

    |

  18. A train of 150 m length is going toward north direction at a speed of ...

    Text Solution

    |

  19. A river is flowing from east to west at a speed of 5m//min. A man on s...

    Text Solution

    |

  20. Two trains, each 50 m long, are travelling in opposite directions with...

    Text Solution

    |