Home
Class 12
PHYSICS
A body is projected with the velocity ...

A body is projected with the velocity ` u_1` from the point (A) as shown in Fig. 2. (d). 37. At the same time another body is projected vertically upwards with the velocity ` u_2` from the point (B) .What should be the value of ` u_1//u_1` for both the bodies to collide ?
.

Text Solution

Verified by Experts

The two bodies will collide, if they reach at a point acequring the same vertical distance in the same time.
`y=u_(1) sin 60^(@)xxt-(1)/(2)"gt"^(2)=u_(2)t-(1)/(2)"gt"^(2)`
or `u_(1)sqrt(3)/(2)xxt=u_(2)t` or `(u_(1))/(u_(2))=(2)/sqrt(3)`
Promotional Banner

Topper's Solved these Questions

  • MOTION IN A PALNE

    ALLEN|Exercise EXERCISE-3|40 Videos
  • KINEMATICS-2D

    ALLEN|Exercise Exercise (O-2)|46 Videos
  • NEWTON'S LAWS OF MOTION & FRICTION

    ALLEN|Exercise EXERCISE (JA)|4 Videos

Similar Questions

Explore conceptually related problems

A body is projected vertically up with u. Its velocity at half its maximum height is

Velocity-time curve for a body projected vertically upwards is with times (s)

A particle is projected vertically upward with velocity u from a point A , when it returns to the point of projection .

A player throws a ball vertically upwards with velocity u. At highest point,

A body is thrown vertically upward with velocity u , the greatest height h to which it will rise is,

A body is projected vertically upward with an initial velocity u. If acceleration due to gravity is g, find the time for which it remains in air.

A particle P is projected with velocity u_1 at an angle of 30^@ with the horizontal. Another particle Q is thrown vertically upwards with velocity u_2 from a point vertically below the highest point of path of P . Determine the necessary condition for the two particles to collide at the highest point. .

A body is projected vertically up with velocity u from a tower. It reaches the ground with velocity nu. The height of the tower is H=u^2/(2g)(n^2-1)

A body is projected vertically upward from the surface of the earth, then the velocity-time graph is:-

ALLEN-MOTION IN A PALNE-SOLVED EXAMPLE
  1. Two bodies are thrown with the same initial speed at angle a and (90^(...

    Text Solution

    |

  2. The range of a particle when launched at an angle of 15^(@) with the h...

    Text Solution

    |

  3. A ball of mass M is thrown vertically upwards. Another ball of mass 2M...

    Text Solution

    |

  4. A body is projected with the velocity u1 from the point (A) as shown...

    Text Solution

    |

  5. An aeroplane is flying at a constant height of 1960 m with speed 600 k...

    Text Solution

    |

  6. A body is projected up such that its position vector varies with time ...

    Text Solution

    |

  7. Two particles A and B are projected simultaneously in the directins sh...

    Text Solution

    |

  8. Two bodies were thrown simultaneously from the same point, one straigh...

    Text Solution

    |

  9. Two particles are projected from the two towers simultaneously, as sho...

    Text Solution

    |

  10. A projectile is thrown with speed u making angle theta with horizontal...

    Text Solution

    |

  11. A particle has an initial velocity (6hati+8hatj) ms^(-1) and an accele...

    Text Solution

    |

  12. IF a particle moves according to the equatin y = x -(x ^(2))/(2), then...

    Text Solution

    |

  13. A stone is to be thrown so as to cover a horizontal distance f 3m. If ...

    Text Solution

    |

  14. Two projectiles are projected at angles ( theta) and ((pi)/(2) - theta...

    Text Solution

    |

  15. Two boys are standing at the ends A and B of a ground where AB = a. Th...

    Text Solution

    |

  16. Show that projection angle 0(o) for a projectile launched from the ori...

    Text Solution

    |

  17. A body stans at 78.4 m from a building and throws a ball which just en...

    Text Solution

    |

  18. A particle starts from origin at t=0 with a velocity 5.0hat(i)m//s and...

    Text Solution

    |

  19. A particle is projected from the ground at an angle such that it just ...

    Text Solution

    |

  20. An aeroplane is travelling horizontally at a height of 2000 m from the...

    Text Solution

    |