Home
Class 12
PHYSICS
A particle is projected vertically upwar...

A particle is projected vertically upwards from the earth. It crosses the same point at t=2 sec and t=8 sec. Find out `[g=10 ms^(-2)]`
(i) the time for which particle remains in air
(ii) intial velocity of particle
(iii) maximum height attained by the particle
(iv) height of the particle at t=2 sec and t=8 sec from earth

Text Solution

Verified by Experts

The correct Answer is:
(i) 10 sec
(ii) 50 m//s
(iii) 125 m
(iv) 80 m
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 is projected vertically upwards and it reaches the maximum height H in time T seconds. The height of the particle at any time t will be-

The acceleration of paticle varies with time as : a(t) = 3t^(2) +4 If the initial velocity of particle is 2 m//s , find the velocity of particle at t = 3sec .

A particle is projected vertically upward from the ground at time t = 0 and reaches a height h at t = T . Show that the greater height of the particle is (g T^(2) + 2h)^(2)//8 gT^(2)

Velocity of a particle varies with time as v=4t. Calculate the displacement of particle between t=2 to t=4 sec.

A particle is projected from the surface of earth with intial speed of 4 km/s. Find the maximum height attained by the particle. Radius of earth = 6400 km and g = 9.8 m//s^(2)

A particle is projected vertically upwards and reaches the maximum height H in time T. The height of the partlcle at any time t (lt T) will be

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 is projected vertically upwards from a point O on the ground. It takes time t_(1) to reach a point A at a height h above the ground, it continues to move and takes a time t_(2) to reach the ground. Find (a) h, (b) the maximum height reached and (c ) the velocity of the partical at the half of maximum height.

A particle when projected vertically upwards from the ground, takes time T to reach maximum height H. Find out (i) The height of the particle from ground at T//2,2T//3,4T//3,5T//4 and also find the ratio of K.E. to P.E. for particle at the same instant of time. (ii) If the particle crosses a point at height 7H//16 at time t_(1) and t_(2) then find t_(1)//t_(2)

ALLEN-RACE-Basic Maths (KINEMATICS)
  1. A ball is thrown upward from edge of a cliff with an intial velocity o...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  8. A ball is projected in a manner such that its horizontal gange is n ti...

    Text Solution

    |

  9. A ball is projected from ground in such a way that after 10 seconds of...

    Text Solution

    |

  10. A body is projected at an angle of 45^(@) with horizontal with velocit...

    Text Solution

    |

  11. A body is projected from ground with velocity u making an angle theta ...

    Text Solution

    |

  12. A ball is thrown from a comer of room of length 20 m and height 5 m su...

    Text Solution

    |

  13. A hunter aims his gun and fires a bullet directly toward's a monkey si...

    Text Solution

    |

  14. An aeroplane is flyind horizontally at a height of 2 km and with a vel...

    Text Solution

    |

  15. Stone A is dropped but stone B and C are projected horizontally (u(C)g...

    Text Solution

    |

  16. Two particles move in a uniform gravitational field with an accelerati...

    Text Solution

    |

  17. A particle projected from origin moves in x-y plane with a velocity ve...

    Text Solution

    |

  18. A golfer standing on level ground hits a ball with a velocity of u=52m...

    Text Solution

    |

  19. A projectile is given an initial velocity hati+2 hatj.The cartesin equ...

    Text Solution

    |

  20. A particle of mass 50 g is projected horizontally from the top of a to...

    Text Solution

    |