Home
Class 12
PHYSICS
Two bodies were thrown simultaneously fr...

Two bodies were thrown simultaneously from the same point, one straight up, and the other at an angle of `theta = 30^@` to the horizontal. The initial velocity of each body is `20 ms^(-1)`. Neglecting air resistance, the distance between the bodies at `t = 1.2` later is

Text Solution

Verified by Experts

`y=(20xx1.2-(1)/(2)"gt"^(2))-(20 sin 30^(@)xx1.2-(1)/(2)"gt"^(2))=24-12=12m`
`x=20 cos 30^(@)xx1.2=24xxsqrt(3)/(2)rArr12sqrt(3)m`
Distance between two bodies `=sqrt((12)^(2)+(12sqrt(3))^(2))=24m`
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 thrown horizontally from the top of a tower of height 5 m . It touches the ground at a distance of 10 m from the foot of the tower. Find the initial velocity of the body.

Two bodies are thrown with the same initial velocity at angles theta and (90^@ - theta) respectively with the horizontal, then their maximum height are in the ratio

Two bodies are thrown simultaneously from a tower with same initial velocity v_0 : one vertically upwards, the other vertically downwards. The distance between the two bodies after time t is

A body is projected with a velocity 60 ms ^(-1) at 30^(@) to horizontal . Its initial velocity vector is

Two projectiles thrown from the same point at angles 60^@ and 30^@ with the horizontal attain the same height. The ratio of their initial velocities is

Two bodies are thrown with the same initial velocity of 30 m/s. One at 17°, other at 73° to the horizontal. The sum of the maximum heights reached by them is [g = 10 m//s^(2) ]

A body is projected down from height of 60 m with a velocity 10 ms ^(-1) at angle 30^(@) to horizontal. The time of flight of the body is [g = 10 ms ^(-2)]

A body is projected with an initial Velocity 20 m/s at 60° to the horizontal. Its velocity after 1 sec is

A body is projected at angle 30° to the horizontal with a velocity 50 ms^(-1) maximum height of projectile is

A body is project at t= 0 with a velocity 10 ms^-1 at an angle of 60 ^(@) with the horizontal .The radius of curvature of its trajectory at t=1s is R. Neglecting air resitance and taking acceleration due to gravity g= 10 ms^-2 , the value of R 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

    |