Home
Class 11
PHYSICS
Find the angle of projection of a projec...

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

A

`45^(@)`

B

`theta = tan^(-1) (0.25)`

C

`theta = tan^(-1) 4` or `(theta = 76^(@))`

D

`60^(@)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MOTION IN ONE DIMENSION

    ERRORLESS |Exercise Motion In One Dimension|24 Videos
  • NEWTONS LAWS OF MOTION

    ERRORLESS |Exercise Self Evaluation Test|16 Videos

Similar Questions

Explore conceptually related problems

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

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 at which horizontal range and maximum height are equal.

Find the angle of projection for a projectile motion whose rang R is (n) time the maximum height H .

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.

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

Assertion: For projection angle tan^(-1)(4) , the horizontal range and the maximum height of a projectile are equal. Reason: The maximum range of projectile is directely proportional to square of velocity and inversely proportional to acceleration due to gravity.

If the angle of projection theta corresponds to horizontal range being equal to the maximum height then tantheta equals :

ERRORLESS -MOTION IN TWO DIMENSION-Exercise
  1. In the motion of a projectile freely under gravity, its

    Text Solution

    |

  2. The range of a projectile for a given initial velocity is maximum when...

    Text Solution

    |

  3. Find the angle of projection of a projectile for which the horizontal ...

    Text Solution

    |

  4. A ball is thrown upwards and returns to the ground describing a parabo...

    Text Solution

    |

  5. At the top of the trajectory of a projectile, the directions of its ve...

    Text Solution

    |

  6. An object is thrown along a direction inclined at an angle of 45^(@) w...

    Text Solution

    |

  7. The height y and the distance x along the horizontal plane of a projec...

    Text Solution

    |

  8. Referring to above question, the angle with the horizontal at which th...

    Text Solution

    |

  9. Referring to the above two questions, the acceleration due to gravity ...

    Text Solution

    |

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

    Text Solution

    |

  11. A cricketer hits a ball with a velocity 25m//s at 60^(@) above the hor...

    Text Solution

    |

  12. A stone is projected from the ground with velocity 25m//s . Two second...

    Text Solution

    |

  13. Galileo writes that for angles of projection of a projectile at angles...

    Text Solution

    |

  14. A projectile thrown with a speed v at an angle theta has a range R on...

    Text Solution

    |

  15. The greatest height to which a boy can throw a stone is (h). What will...

    Text Solution

    |

  16. The horizontal range is four times the maximum height attained by a pr...

    Text Solution

    |

  17. A ball whose kinetic energy is E , is projected at an angle of 45(@) t...

    Text Solution

    |

  18. A particle of mass m is projected with a velocity v making an angle of...

    Text Solution

    |

  19. A particle reaches its highest point when it has covered exactly one h...

    Text Solution

    |

  20. Acceleration of a particle under projectile motion at the highest poin...

    Text Solution

    |