Home
Class 11
PHYSICS
A stone is projected from point A with s...

A stone is projected from point `A` with speed `u` making an angle `60^(@)` with horizontal as shown. The fixed inclined surface makes an angle `30^(@)` with horizontal. The stone lands at `B` after time `t`. Then the distance `AB` is equal to .

A

`(u t)/(sqrt(3))`

B

`(sqrt(3) ut)/(2)`

C

`sqrt(3) u t`

D

`2 ut`

Text Solution

Verified by Experts

The correct Answer is:
A
(Moderate) The horizontal displacement in time t is
`AC=v cos 60^(@) t =(ut)/2`
`:.` Range on inclined plane =`(AC)/(cos 30^(@))=(ut)/(sqrt(3))`
Promotional Banner

Topper's Solved these Questions

  • HEAT TRANSFER

    RESONANCE ENGLISH|Exercise Advancel Level Problems|17 Videos

  • KINETIC THEORY OF GASES AND THERMODYNAMICS

    RESONANCE ENGLISH|Exercise Exercise|64 Videos

Similar Questions

Explore conceptually related problems

A particle is fired from a point on the ground with speed u making an angle theta with the horizontal.Then

A particle is projected with velocity 50 m/s at an angle 60^(@) with the horizontal from the ground. The time after which its velocity will make an angle 45^(@) with the horizontal is

A projectile is fired with a speed u at an angle theta with the horizontal. Find its speed when its direction of motion makes an angle alpha with the horizontal.

A projectile is fired with a speed u at an angle theta with the horizontal. Find its speed when its direcrtion of motion makes an angle alpha with the horizontal.

A stone is projected with speed of 50 ms^(-1) at an angle of 60^(@) with the horizontal. The speed of the stone at highest point of trajectory is

A projectile is projected at 10ms^(-1) by making an angle 60^(@) to the horizontal. After sometime, its velocity makes an angle of 30^(@) to the horzontal . Its speed at this instant is:

A projectile is projected from the ground by making an angle of 60^@ with the horizontal. After 1 s projectile makes an angle of 30^@ with the horizontal . The maximum height attained by the projectile is (Take g=10 ms^-2)

A particle is projected from horizontal making an angle of 53^(@) with initial velocity 100 ms^(-1) . The time taken by the particle to make angle 45^(@) from horizontal is

A stone is projected from the top of a tower with velocity 20ms^(-1) making an angle 30^(@) with the horizontal. If the total time of flight is 5s and g=10ms^(-2)

A particle is thrown with a speed u at an angle theta with the horizontal. When the particle makes an angle phi with the horizontal. Its speed changes to v :

RESONANCE ENGLISH-KINEMATICS-Exercise
  1. Speed at the maximum height of a projectile is half of its initial spe...

    Text Solution

    |

  2. Distance between a frog and an insect on a horizontal plane is 10m. Fr...

    Text Solution

    |

  3. A stone is projected from point A with speed u making an angle 60^(@) ...

    Text Solution

    |

  4. A projectile can have the same range 'R' for two angles of projection ...

    Text Solution

    |

  5. Two stones are projected from level ground. Trajectory of two stones a...

    Text Solution

    |

  6. One stone is projected horizontally from a 20 m high cliff with an ini...

    Text Solution

    |

  7. A small rolls of the top of a stairway horizontally with a velocity of...

    Text Solution

    |

  8. A projectile is thrown with velocity v making an angle theta with the ...

    Text Solution

    |

  9. An arrow is shot in air, its time of flight is 5 sec and horizontal ra...

    Text Solution

    |

  10. Two projectiles are projected angle ((pi)/(4) + theta) and ((pi)/(4) -...

    Text Solution

    |

  11. The time of flight of a projectile is 10 s and range is 500m. Maximum ...

    Text Solution

    |

  12. An eaeroplane is to go along straight line from A to B, and back again...

    Text Solution

    |

  13. A man crosses the river perpendicular to river in time t seconds and t...

    Text Solution

    |

  14. Passenger of a train just drops a stone from it. The train was moving ...

    Text Solution

    |

  15. Two men P & Q are standing at corners A & B of square ABCD of side 8m....

    Text Solution

    |

  16. P is a point moving with constant speed 10 m//s such that is velocity ...

    Text Solution

    |

  17. A coin is released inside a lift at a height of 2m from the floor of t...

    Text Solution

    |

  18. A man is holding an umbrella at angle 30^(@) with vertical with lower ...

    Text Solution

    |

  19. A man is sitting inside a moving train and observes the stationary obj...

    Text Solution

    |

  20. Which of the following is true ?

    Text Solution

    |