Home
Class 11
PHYSICS
A cannon fires its projectile with such ...

A cannon fires its projectile with such an initial velocity and angle of projection that its range is R and the maximum height to which the projectile rises is H.Find the maximum range that can be obtained with the same initial velocity.

Text Solution

Verified by Experts

The correct Answer is:
`R_("max")=2H+R^2/(8H)`
Promotional Banner

Topper's Solved these Questions

  • ISOTHERMAL AND ADIABATIC PROCESS

    NN GHOSH|Exercise All Questions|29 Videos

  • KINETIC THEORY OF GASES

    NN GHOSH|Exercise All Questions|24 Videos

Similar Questions

Explore conceptually related problems

The angle of projection at which the horizontal range and maximum height of projectile are equal is

An object is projected so that its horizontal range R is maximum. If the maximum height of projectile is H , find the value of H//R .

An object is projected with speed u and range of the projectile is found to be double of the maximum height attained by it . Range of the projectile is .

An object is projected with speed u and range of the projectile is found to be double of the maximum height attained by it . Range of the projectile is .

The maximum range of a projecitle fired with some initial velocity is found to be 1000 metre The maximum height (H) reached by this projectile is:-

The range of a projectile for a given initial velocity is maximum when the angle of projection is 45^(@) . The range will be minimum, if the angle of projection is

A projectile has a range of 40 m and reaches a maximum height of 10 m. Find the angle at which the projectile is fired.

A projectile has a range of 40 m and reaches a maximum height of 10 m . Find the angle at which the projectile is fired.

A projectile is thrown with an initial velocity of v = a hat i + b hat j . If the range of projectile is double the maximum height reached by it. Find the ratio (b)/(a) .

Find the angle of projection for a projectile motion whose rang R is (n) time the maximum height H .

NN GHOSH-KINEMATICS-All Questions
  1. A man with a constant time of reaction can stop his car within 30 m wh...

    Text Solution

    |

  2. Two cars cover the distance between two stations in 2 hours. The first...

    Text Solution

    |

  3. A point moves in the x-y plane according to the equations x=at, y=at-...

    Text Solution

    |

  4. Three points are located at the vertices of an equilateral triangle ea...

    Text Solution

    |

  5. A truck has to carry a load in the shortest time from one point to ano...

    Text Solution

    |

  6. Three particles start from the origin at the same time, one with veloc...

    Text Solution

    |

  7. A body projected vertically upwards from A, the top of a tower, reache...

    Text Solution

    |

  8. A body projected with the same velocity at two different angles covers...

    Text Solution

    |

  9. The ceiling of a long hall is 25 m high.What is the maximum horizontal...

    Text Solution

    |

  10. A cannon and a target are 5.0 km apart on the same horizontal plane. H...

    Text Solution

    |

  11. A ball starts falling with zero initial velocity on to a smooth inclin...

    Text Solution

    |

  12. A cannon fires two shells successively with velocity 250 m s^(-1) at a...

    Text Solution

    |

  13. A machine gun is mounted on the top of a tower of height h=100 m. At w...

    Text Solution

    |

  14. A cannon fires its projectile with such an initial velocity and angle ...

    Text Solution

    |

  15. An airplane is moving with velocity v0 horizontally at a height h. If ...

    Text Solution

    |

  16. A parrticle projected with velocity u strikes at right angles a plane ...

    Text Solution

    |

  17. A particle is projected with a velocity u from a point at ground level...

    Text Solution

    |

  18. A projectile is required to hit a target whose coordinates relative to...

    Text Solution

    |

  19. Two particles are projected at the same instant from the same point of...

    Text Solution

    |

  20. A target situated on a hill can be seen from the foot at angle alpha a...

    Text Solution

    |