Home
Class 11
PHYSICS
Find the angle of projection at which ho...

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

Text Solution

AI Generated Solution

To find the angle of projection at which the horizontal range and maximum height of a projectile are equal, we can follow these steps: ### Step 1: Write the formulas for maximum height and horizontal range. The maximum height \( h \) of a projectile is given by: \[ h = \frac{u^2 \sin^2 \theta}{2g} \] where \( u \) is the initial velocity, \( \theta \) is the angle of projection, and \( g \) is the acceleration due to gravity. ...
Promotional Banner

Topper's Solved these Questions

  • KINEMATICS

    PRADEEP|Exercise 1 Conceptual Problems|2 Videos
  • KINEMATICS

    PRADEEP|Exercise 1 Con ceptual Problems|14 Videos
  • KINEMATICS

    PRADEEP|Exercise 3 SolvedExamples|46 Videos
  • GRAVIATION

    PRADEEP|Exercise Assertion-Reason Type Questions|19 Videos
  • LAWS OF MOTION

    PRADEEP|Exercise Assertion- Reason Type Questions|17 Videos

Similar Questions

Explore conceptually related problems

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

The angle of projection at which the horizontal range and maximum height of projectile are equal is

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

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

A body is thrown at an angle alpha to the horizontal with initial velocity v_0 .Assuming air drag to be negligible , find (i)the time of motion, (ii)maximum height of ascent and the horizontal range, (iii)the angle of projection at which they are equal , (iv)the angle of projection at which the horizontal range is maximum and the angle at which the vertical range is maximum.

The angle of rojection for a body to have same horizontal range and maximum height is …………………… .

For which angle of projection the horizontal range is 5 times the maximum height attrained ?

Show that there are two angles of projection for which the horizontal range is the same.

For given value of u, there are two angles of projection for which the horizontal range is the same. the sum of the maximum heights for these two angles is

PRADEEP-KINEMATICS-4 SolvedExamples
  1. A body is thrown horizontally from the top of a tower and strikes the ...

    Text Solution

    |

  2. A fighter plane flying horizontally at an altitude of 1.5 km with spe...

    Text Solution

    |

  3. Find the angle of projection at which horizontal range and maximum hei...

    Text Solution

    |

  4. A bullet fired at an angle of 30^(@) with the horizontal hits the gro...

    Text Solution

    |

  5. How much hight above the ground a mancan throw a ball if he is able to...

    Text Solution

    |

  6. Calculate the horizontal distance travelled by a ball throw with a vel...

    Text Solution

    |

  7. One body is thrown at an angke theta with the horizontal and another ...

    Text Solution

    |

  8. A projectile has a range of 60 m and reaches a maximuum height of 12 ...

    Text Solution

    |

  9. A ball is kiched at an angle 30^(@) with the verical. If the horizont...

    Text Solution

    |

  10. A cricket ball is thrown at a speed of 28 ms^(-1) in a direction 30 ...

    Text Solution

    |

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

    Text Solution

    |

  12. From a pint on the ground at a distance 15 m from the foot of a vertic...

    Text Solution

    |

  13. At what angle should a body be projected with a velocity 20 ms^(-1) ju...

    Text Solution

    |

  14. A body is projected with a veocity of 40 ms^(-1). After 2 s it fcross...

    Text Solution

    |

  15. A hunter aims his fun and fires a bullet directly at a monkey on a tre...

    Text Solution

    |

  16. The maximum height attain by a projectile is increased by 10% by incr...

    Text Solution

    |

  17. For the top of a tower 156.8 m high, a projectile is thrown up with a...

    Text Solution

    |

  18. A machine gun is mounted on the top of a tower 60 m At what angle show...

    Text Solution

    |

  19. An insect trapped in a circular groove of radius 12 cm moves along the...

    Text Solution

    |

  20. Find the magnitude of the centripetal acceleration of a particle on th...

    Text Solution

    |