Home
Class 11
PHYSICS
Two guns situated at the top of a hill o...

Two guns situated at the top of a hill of height `10 m` fire one shot each with the same speed `5sqrt(3) m//s` at some interval of time. One gun fires horizontal and the other fores upwards at an angle of `60^(@)` with the horizontal. Two shots collide in air at a poit `P`. Find (i) time-interval between the firing and (ii) coordinates of the point `P`. Take the origin of coordinates system at the foot of the hill right below the muzzle and trajectorise in the `x-y` plane.

Promotional Banner

Topper's Solved these Questions

  • PROJECTILE MOTION

    SL ARORA|Exercise Problem For Self Practice|50 Videos

  • PROJECTILE MOTION

    SL ARORA|Exercise Problem For Self Practice|50 Videos

  • PHYSICAL WORLD AND MEASUREMENTS

    SL ARORA|Exercise Based on Combination|21 Videos

  • PROPERTIES OF SOLIDS

    SL ARORA|Exercise All Questions|97 Videos

Similar Questions

Explore conceptually related problems

Two guns are situated at the top of a hill firing the shots at the same speed. One gun fires the shot horizontally and other gun fires the shot at an angle of 60^@ with horizontal. Two two shots collide in air. If the time taken by horizontal shot to reach the point of collision in 3 seconds , find the time interval between two shots.

A bullet is fired with speed 50m//s at 45^(@) angle with horizontal. Find the height of the bullet when its direction of motion makes angle 30^(@) with the horizontal.

A gun fires a shell and recoils horizontally . If the shell travels along the barrel with speed v , the ratio of speed with which the gun recoils if (i) the barrel is horizontal (ii) inclined at an angle of 30^(@) with horizontal is

At t=0 a projectile is fired from a point O (taken as origin) on the ground wita speed of 50m//s at an angle of 53^(@) with the horizontal. It just passes two points A and B each at height 75m above horizontal. The horizontal separation between the points A and B

A shot is fired at an angle theta to the horizontal such that it strikes the hill while moving horizontally. Find the initial angle of projection theta .

A cannon fires two shells successively with velocity 250 m s^(-1) at angles 60^@ and 45^@ with the horizontal in the same vertical plane one after the other . What should be the interval between the firings so that they may hit the same target simultaneously ?

At t=0 a projectile is fired from a point O (taken as origin) on the ground wita speed of 50m//s at an angle of 53^(@) with the horizontal. It just passes two points A and B each at height 75m above horizontal. The distance (in metre) of the particle from origin at t=2s

SL ARORA-PROJECTILE MOTION-Problen Solution
  1. A particle of mass 100 g is fired with a velocity of 20 ms^(-1) making...

    Text Solution

    |

  2. A body of mass m is projected with velocity v at an angle of 45^(@) wi...

    Text Solution

    |

  3. The height y and the distance x along the horizontal plane of projecti...

    Text Solution

    |

  4. Show that the motion of one projectile as seen from another projectile...

    Text Solution

    |

  5. A particle is projected horizontal with a speed u from the top of pla...

    Text Solution

    |

  6. A helicopter on a flood relief mission flying horizontally with a spee...

    Text Solution

    |

  7. A ball is thrown from ground level so as to just clear a wall 4m high ...

    Text Solution

    |

  8. A ball rolls off the top of a staircase with a horizontal velocity u m...

    Text Solution

    |

  9. A particle is projected over a traingle from one end of a horizontal b...

    Text Solution

    |

  10. A particle is projected with velocity 2 sqrt(gh) so that it just clear...

    Text Solution

    |

  11. A shell is fired from a gun from the bottom of a hill along its slope....

    Text Solution

    |

  12. If the horizontal range of a projectile be a and the maximum height at...

    Text Solution

    |

  13. The velocity of a projectile when it is at the greatest height is (sqr...

    Text Solution

    |

  14. Particles P and Q of masses 20g and 40g, respectively, are projected f...

    Text Solution

    |

  15. Two towers AB and CD are situated a distance d apart as: shown in Fig....

    Text Solution

    |

  16. A bullet of mass M is fired with a velocity 50m//s at an angle with th...

    Text Solution

    |

  17. Two guns situated at the top of a hill of height 10 m fire one shot ea...

    Text Solution

    |