Home
Class 11
PHYSICS
A body is projected with velocity u such...

A body is projected with velocity `u` such that in horizontal range and maximum vertical heights are samek.The maximum height is

A

`u^(2)/(2g)`

B

`(3u^(2))/(4g)`

C

`(16u^(2))/(17g)`

D

`(8u^(2))/(17g)`

Text Solution

Verified by Experts

The correct Answer is:
D

`:.Tan theta=4`
`H_(max)=(u^(2)sin^(2)theta)/(2g)`
Promotional Banner

Topper's Solved these Questions

  • MOTION IN A PLANE

    NARAYNA|Exercise Level-II(H.W)|31 Videos
  • MOTION IN A PLANE

    NARAYNA|Exercise Level-Vi Integer|9 Videos
  • MECHANICAL PROPERTIES OF SOLIDS

    NARAYNA|Exercise LEVEL-II (H.W)|24 Videos
  • MOTION IN A STRAIGHT LINE

    NARAYNA|Exercise Level 2 H.W|29 Videos

Similar Questions

Explore conceptually related problems

A body is projected with velocity u so that its horizontal range is twice the maximum height.The range is

A ball is projected from the ground with velocity u such that its range is maximum Then

A body is projected obliquely from the ground such that its horizontal range is maximum.If the change in its maximum height to maximum height, is P , the change in its linear momentum as it travels from the point of projection to the landing point on the ground will be

A projectile is fired with a velocity u in such a way that its horizontal range is three times the maximum height aatained . Find the value of horizontal range .

A particle is projected with velocity u at angle theta_(1) with horizontal .The ratio of range and maximum height is 4. When it is projected at angle theta_(2) with horizontal with same speed,the ratio of range and maximum height is 2.Then (tan theta_(1))/(tan theta_(2)) will be equal to

Find the angle of projection at which horizontal range and maximum height are equal.

A body is projected obliquely from the ground such that its horizontal range is maximum. If the change in its linear momentum, as it moves from half the maximum height to maximum height, is P, the change in its linear momentum as it travels from the point of projection to the landing point on the ground will be:

Find the angle of projection for which the horizontal range and the maximum height are equal.

A body is projected with a velocity 30 ms^(-1) at an angle of 30^@ with the vertical. Find (i) the maximum height (ii) time of flight and (iii) the horizontal range of the projectile. Take g=10 m//s^@ .

A body is projected with a velocity of 30 ms^(-1) at an angle of 30^(@) with the vertical. Find the maximum height, time of flight and the horizontal range.

NARAYNA-MOTION IN A PLANE-Level-I (H.W)
  1. A body is projected at angle 30^(@) to horizontal with a velocity 50 m...

    Text Solution

    |

  2. A body is projected with velocity 60m//s at 30^(@) to the horizontal.T...

    Text Solution

    |

  3. A body is projected with velocity u such that in horizontal range and ...

    Text Solution

    |

  4. A cricket ball is hit for a six leaving the bat at an angle of 60^(@) ...

    Text Solution

    |

  5. A bomb at rest is exploded and the pieces are scattered in all directi...

    Text Solution

    |

  6. A boy can throw a stone up to a maximum height of 10 m. The maximum h...

    Text Solution

    |

  7. A grass hopper can jump a maximum horizontal distance of 20 .4 cm . I...

    Text Solution

    |

  8. A stone is thrown with a velocity v at an angle theta with the horizon...

    Text Solution

    |

  9. A body is projected with a certain speed at angles of projection of th...

    Text Solution

    |

  10. The launching speed of a certain projectile is five times the speed it...

    Text Solution

    |

  11. A person throws a bottle into a dustbin at the same height as he is 2m...

    Text Solution

    |

  12. A body projected horizontally from the top of a tower follows y=20x^(2...

    Text Solution

    |

  13. A bomb is dropped from an aeroplane flying horizontally with a velocit...

    Text Solution

    |

  14. A body is projected horizontally from a height of 78.4 m with a veloci...

    Text Solution

    |

  15. Two thin wood screens A and B are separated by 200m a bullet travellin...

    Text Solution

    |

  16. A fly wheel is rotating about its own axis at an angular velocity 11 r...

    Text Solution

    |

  17. A stationary wheel starts rotating about its own axis at constant angu...

    Text Solution

    |

  18. A point size body is moving along a circle at an angular velocity 2.8r...

    Text Solution

    |

  19. A circular plate is rotating about its own axis at an angular velocity...

    Text Solution

    |

  20. An air craft executes a horizontal loop of radius 1 km with steady sp...

    Text Solution

    |