Home
Class 12
PHYSICS
If the horizontal range of a projectile ...

If the horizontal range of a projectile be a and the maximum height attained by it is b, then prove that the velocity of projection is `[2g(b+a^2/(16b))]^(1/2)`

A

`[g(b + (a^(2))/(16b))]^(1/2)`

B

`[2g(b + (a^(2))/(16b))]^(1/2)`

C

`[g(a + (b^(2))/(16b))]^(1/2)`

D

`[2g(a + (b^(2))/(16b))]^(1/2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MOTION IN A PLANE

    AAKASH INSTITUTE|Exercise Assignement section -C Objective (More than one option is correct)|5 Videos
  • MOTION IN A PLANE

    AAKASH INSTITUTE|Exercise Assignement section -D (Linked Comprehension)|8 Videos
  • MOTION IN A PLANE

    AAKASH INSTITUTE|Exercise Assignement section -A Objective (one option is correct)|50 Videos
  • MOCK_TEST_17

    AAKASH INSTITUTE|Exercise Example|15 Videos
  • MOTION IN A STRAIGHT LINE

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION - D)|15 Videos

Similar Questions

Explore conceptually related problems

If the horizontal range of projectile be (a) and the maximum height attained by it is (b) then prove that the velocity of projection is [ 2 g (b+ a^2 /(16 b)) ] ^(1//2) .

The maximum horizontal range of a projectile is 400 m . The maximum value of height attained by it will be

The horizontal range of a projectile is 2 sqrt(3) times its maximum height. Find the angle of projection.

The horizontal range of a projectile is R and the maximum height attained by it is H. A strong wind now begins to below in the direction of motion of the projectile, giving it a constant horizontal acceleration =g//2 . Under the same conditions of projection. Find the horizontal range of the projectile.

The horizontal range of a projectile is R and the maximum height attained by it is H. A strong wind now beings to blow in the direction of horizontal motion of projectile, giving to constant horizontal acceleration equal to g. Under the same conditions of projections , the new range will be (g = acceleration due to gravity)

The horizontal range of a projectile is R and the maximum height at tained by it is H. A strong windnow begins to blow in the direction of the motion of the projectile, giving it a constant horizontal acceleration = g/2. Under the same conditions of projection, the horizontal range of the projectile will now be:

The horizontal range is four times the maximum height attained by a projectile. The angle of projection is

A ball is projected to attain the maximum range. If the height attained is H, the range is

AAKASH INSTITUTE-MOTION IN A PLANE-Assignement section -B Objective (one option is correct)
  1. One second after the projection, a stone moves at an angle of 45^@ wi...

    Text Solution

    |

  2. The horizontal range of a projectile is R and the maximum height attai...

    Text Solution

    |

  3. The speed of a projectile when it is at its greatest height is sqrt(2/...

    Text Solution

    |

  4. If the horizontal range of a projectile be a and the maximum height at...

    Text Solution

    |

  5. A grasshopper can jump a maximum horizontal distance of 40cm. If it sp...

    Text Solution

    |

  6. A body is projected horizontally with a speed v(0) find the velocity o...

    Text Solution

    |

  7. A particle is thrown with the speed u at an angle alpha with the horiz...

    Text Solution

    |

  8. A projectile is thrown with an initial velocity (v(x)hati + v(y)hatj) ...

    Text Solution

    |

  9. A particle is projected with a velocity of 30 m/s at an angle theta...

    Text Solution

    |

  10. A projectile has same range for two angules of projection. If times of...

    Text Solution

    |

  11. A particle is projected with velocity 50 m/s at an angle 60^(@) with...

    Text Solution

    |

  12. A projectile is fired to have maximum range 500 m. Maximum height atta...

    Text Solution

    |

  13. A particle projected at some angle with velocity 50 m/s crosses a 20 m...

    Text Solution

    |

  14. Two paper screens A and B are separated by a distance of 100m. A bulle...

    Text Solution

    |

  15. A stone is thrown from the top of a tower at an angle of 30^(@) above...

    Text Solution

    |

  16. A level flight olane flying at an altitude of 1024 ft with a speed of ...

    Text Solution

    |

  17. A particle is projected from the bottom of an inclined plane of inclin...

    Text Solution

    |

  18. A man desires to swim across the river in shortest time. The velocity ...

    Text Solution

    |

  19. Two cars A and B cross a point P with velocities 10m//s and 15m//s. Af...

    Text Solution

    |

  20. A man can swim at 4 m/s in a still water swimming pool. He enters a ...

    Text Solution

    |