Home
Class 12
PHYSICS
A body stans at 78.4 m from a building a...

A body stans at `78.4 m` from a building and throws a ball which just enters a window `39.2 m` above the ground. Calculate the velocity of projection of the ball. Fig. 2 (d) . 22.
.

Text Solution

Verified by Experts

Maximum height `=(u^(2)sin^(2)theta)/(2g)=39.2m`...(i) Range `=(u^(2)sin2 theta)/(g)=(2u^(2)sin thetacostheta)/(g)=2xx78.4` ....(ii)
from equation (i) divided by equation (ii) `tan theta=1rArrtheta=45^(@)`
from equation (ii) range `=(u^(2)sin90^(@))/(g)=2xx78.4rArru=sqrt(2xx78.4xx9.8)=39.2 m//s`.
Promotional Banner

Topper's Solved these Questions

  • MOTION IN A PALNE

    ALLEN|Exercise EXERCISE-3|41 Videos
  • KINEMATICS-2D

    ALLEN|Exercise Exercise (O-2)|48 Videos
  • NEWTON'S LAWS OF MOTION & FRICTION

    ALLEN|Exercise EXERCISE (JA)|4 Videos

Similar Questions

Explore conceptually related problems

A boy stands at 39.2 m from a building and throws a ball which just passes through a window 19.6 m above the ground. Calculate the velocity of projection of the ball.

A boy stands 19.6 m away from a 9.8m high cliff. If the throws a ball towards the cliff such that it just passes above from it , find the velocity of projection of the ball.

A cricketer can throw a ball to a maximum horizontal distance of 100 m. How high above the ground can the cricketer throw the same ball ?

A 13-m long ladder reaches a window of building 12 m above the ground. Determine the distance of the foot the ladder from the building.

A ladder 17m long reaches a window of a building 15m above the ground.Find the distance of the foot of the ladder from the building.

Two tall buildings are 40m apart A ball thrown horizontally from a window 145m above the ground in one building is to enter a window 22.5m above the ground in the other building. The speed of the ball should be

Two tall buildings are 40m apart. A ball thrown horizontally from a window 145m above the ground in one building is to enter a window 22.5m above the ground in the other building.The speed of the ball should be (A) 6m/s (B) 8m/s (C) 10m/s (D) 12m/s

From the top of a building 80 m high, a ball is thrown horizontally which hits the ground at a distance.The line joining the top of the building to the point where it hits the ground makes an angle of 45^(@) with the ground. Initial velocity of projection of the ball is (g=10 m//s^(2))

A ladder 25m long reaches a window of a building 20m above the ground.Determine the distance of the foot of the ladder from the building.

A ladder 25m long reaches a window of a building 20m above the ground.Determine the distance of the foot of the ladder from the building.

ALLEN-MOTION IN A PALNE-SOLVED EXAMPLE
  1. Two bodies are thrown with the same initial speed at angles alpha and ...

    Text Solution

    |

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

    Text Solution

    |

  3. A ball of mass (m) is thrown vertically up. Another ball of mass 2 m ...

    Text Solution

    |

  4. A body is projectd with the velcity (U1) from the point (A) as shown...

    Text Solution

    |

  5. An aeroplane is flying at a constant height of 1960 m with speed 600 k...

    Text Solution

    |

  6. A body is projected up such that its position vector varies with time ...

    Text Solution

    |

  7. Two particles A and B are projected simultaneously in the directins sh...

    Text Solution

    |

  8. Two bodies were thrown simultaneously from the same point, one straigh...

    Text Solution

    |

  9. Two particles are projected from the two towers simultaneously, as sho...

    Text Solution

    |

  10. A projectile is thrown with speed u making angle theta with horizontal...

    Text Solution

    |

  11. A particle has an initial velocity (6hati+8hatj) ms^(-1) and an accele...

    Text Solution

    |

  12. A particle travels according to the equation y=x-(x^(2)/(2)). Find the...

    Text Solution

    |

  13. A stone is to be thrown so as to cover a horizontal distance f 3m. If ...

    Text Solution

    |

  14. Two projectiles are projected at angles ( theta) and ((pi)/(2) - theta...

    Text Solution

    |

  15. Two boys are standing at the ends A and B of a ground, where AB=a. The...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. A particle starts from origin at t=0 with velocity 5.0hati m//s and mo...

    Text Solution

    |

  19. A particle is projected from the ground at an angle such that it just ...

    Text Solution

    |

  20. An aeroplane is travelling at a height of 2000 m from the ground. The ...

    Text Solution

    |