Home
Class 12
PHYSICS
Show that projection angle theta(0) for ...

Show that projection angle `theta_(0)` for a projectile launched from the origin is given by:
`theta_(0)=tan^(-1)[(4H_(m))/(R)]` Where `H_(m)=` Maximum height, R=Range

Promotional Banner

Topper's Solved these Questions

  • Motion in Straight Line

    VMC MODULES ENGLISH|Exercise IN-CHAPTER EXERCISE-A|11 Videos
  • Motion in Straight Line

    VMC MODULES ENGLISH|Exercise IN-CHAPTER EXERCISE-B|10 Videos
  • Motion in Straight Line

    VMC MODULES ENGLISH|Exercise SOLVED EXAMPLES|20 Videos
  • MOTION IN A STRAIGHT LINE & PLANE

    VMC MODULES ENGLISH|Exercise IMPECCABLE|52 Videos
  • Motion in Two Dimensions

    VMC MODULES ENGLISH|Exercise MCQ|2 Videos

Similar Questions

Explore conceptually related problems

Shown that for a projectile the angle between the velocity and the x-axis as a function of time is given by theta(t)=tan^(-1)((v_(oy)-gt)/(v_(ax))) (b) Show that the projection angle theta_(0) for a projectile lauched from the origin is given by theta_(0)=(tan^(-1)(4h_(m))/(R)) Where the symbols have their usual meaning.

Show that for a projectile the angle between the velocity and the x-axis as function of time is given by theta_(t) = tan ^(-1)( ( v_(0 y)-g t)/(v_(o x))) (b) Shows that the projection angle theta_0 for a projectile launched from the origin is given by theta_(t) = tan ^(-1)( ( 4 h_m)/R) where the symbols have their usual meanings.

Maximum range for a projectile motion is given as R, then height will be

Show that the maximum height reached by a projectile launched at an angle of 45^@ is one quarter of its range.

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

The position of a projectile launched from the origin at t = 0 is given by s = (40hati+50hatj)m at t=2s . if the projectile was launched at an angle theta from the horizontal, then theta is (take g = 10 ms^(–2)

For a projectile 'R' is range and 'H' is maximum height

A projectile is fired from a horizontal frictionless ground. Coefficient of restitution between the projectile and the ground is e. If T_(1), H_(1), R_(1), v_(1), T_(2), H_(2), R_(2), v_(2) , are time flight, maximum height, range, horizontal velocities in first two collisions, then match the following.

A projectile is fixed on a horizontal ground. Coefficient of restitution between the projectile and the ground is 'e'. If a,b and c be the ration of time of flight [(T_(1))/(T_(2))] , maximum height [(H_(1))/(H_(2))] and horizontal range [(R_(1))/(R_(2))] in first two collisions with the ground, then a, b and c in terms of 'e' will be

If a projectile is fired at an angle theta with the vertical with velocity u, then maximum height attained is given by:-

VMC MODULES ENGLISH-Motion in Straight Line -PRACTICE EXERCISE
  1. A ball is thrown at angle theta and another ball is thrown at an angle...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. A ball of mass M is thrown vertically upwards. Another ball of mass 2M...

    Text Solution

    |

  5. The celing of a long hall is 25 m high, What is the maximum horizontal...

    Text Solution

    |

  6. A projectile is fired horizontally with velocity of 98 m/s from the to...

    Text Solution

    |

  7. A projectile is fired horizontally with a velocity of 98 ms^(-1) from ...

    Text Solution

    |

  8. A projectile is fired horizontally with velocity of 98 m/s from the to...

    Text Solution

    |

  9. Two tall buildings are 30 m apart. The speed with which a ball must be...

    Text Solution

    |

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

    Text Solution

    |

  11. A ball is thrown from the top of a tower with an initial velocity of 1...

    Text Solution

    |

  12. A man can swim at a speed 2ms^(-1) in still water. He starts swimming ...

    Text Solution

    |

  13. A man can swim at a speed 2ms^(-1) in still water. He starts swimming ...

    Text Solution

    |

  14. 2 km wide river flowing with a rate of 5 km/hr. A man can swim in the ...

    Text Solution

    |

  15. 2 km wide river flowing with a rate of 5 km/hr. A man can swim in the ...

    Text Solution

    |

  16. A boat moves along the flow of river between two fixed points A and B....

    Text Solution

    |

  17. A person moves due east at speed 6m/s and feels the wind is blowing to...

    Text Solution

    |

  18. A person moves due east at speed 6 m/s and feels the wind is blowing i...

    Text Solution

    |

  19. A man when standstill observes the rain falling vertically and when he...

    Text Solution

    |

  20. A man going east in a car with a velocity of 20 km/hr, a train appears...

    Text Solution

    |