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|41 Videos
  • KINEMATICS-2D

    ALLEN |Exercise Exercise (O-2)|47 Videos
  • NEWTON'S LAWS OF MOTION & FRICTION

    ALLEN |Exercise EXERCISE (JA)|4 Videos

Similar Questions

Explore conceptually related problems

A ball is thrown horizontally from a cliff such that it strikes the ground after 5s .The line of sight makes an angle 37^(@) with the horizontal.The initial velocity of projection in ms^(-1) is

A body is lauched from the earth's surface a an angle alpha=30^(@) to the horizontal at a speed v_(0)=sqrt((1.5 GM)/R) . Neglecting air resistance and earth's rotation, find the height to which the body will rise.

Two bodies are thrown with the same initial speed at angles alpha and (90^(@) -alpha) with the horizontal. What will be the ratio of maximum heights attained by them

Two particles are projected at the same instant with speeds v_(1) and v_(2) making angles alpha and beta with the horizontal as shown in the figure. Nelecting air resistance, the trajectory of the mass center the two particles

A projectile is thrown from a point in a horizontal plane such that the horizontal and vertical velocities are 9.8 ms^(-1) and 19.6 ms^(-1) . It will strike the plane after covering distance of

Two projectiles are thrown simultaneously in the same plane from the same point. If their velocities are v_(1) and v_(2) at angles theta_(1) and theta_(2) respectively from the horizontal, then ansewer the following questions If v_(1)costheta_(1) = v_(2)cos theta_(2) , then choose the incrorrect statement

Two projectiles are thrown simultaneously in the same plane from the same point. If their velocities are v_(1) and v_(2) at angles theta_(1) and theta_(2) respectively from the horizontal, then answer the following questions If v_(1)costheta_(1) = v_(2)cos theta_(2) , then choose the correct statement

Two bodies are thrown with the same initial speed at angles alpha and (90^(@) -alpha) with the horizontal. What will be the ratio of (a) maximum heights attained by them and (b) horizontal ranges ?

Two projectiles are thrown simultaneously in the same plane from the same point. If their velocities are v_(1) and v_(2) at angles theta_(1) and theta_(2) respectively from the horizontal, then ansewer the following questions The trajectory of particle 1 with respect to particle 2 wil be

A ball is thown at angle theta and another ball is thrown at angle (90^(@)- theta) with the horizontal direction from the same point each with speeds of 40 m/s. The second ball reaches 50 m higher than the first ball. Find the individual heights. g= 10 m//s^(2)

ALLEN -MOTION IN A PALNE-SOLVED EXAMPLE
  1. Two bodies are thrown with the same initial speed at angles alpha and ...

    Text Solution

    |

  2. The range of a projectile launched at an angle of 15^(@) with horizont...

    Text Solution

    |

  3. A ball of mass (m) is thrown vertically up. Another ball of mass 2 m ...

    Text Solution

    |

  4. A body is projectd with the velcity (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 initial velocity (3hati+4hatj) and has acceleration (0....

    Text Solution

    |

  12. A particle travels according to the equation y=x-(x^(2)/(2)). Find the...

    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. The...

    Text Solution

    |

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

    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 velocity 5.0hati m//s and mo...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |