Home
Class 12
PHYSICS
A stone is projected at angle of tan^(-...

A stone is projected at angle of `tan^(-1)(3//4)` to the horizontal with a speed of `30ms^(-1)`. Find its position after 2 seconds. `g = 10ms^(-1)` ?

Text Solution

AI Generated Solution

To solve the problem step by step, we will break down the motion of the stone into its horizontal and vertical components. ### Step 1: Determine the angle of projection The angle of projection θ is given as: \[ \theta = \tan^{-1}\left(\frac{3}{4}\right) \] From this, we can find the sine and cosine of the angle: ...
Promotional Banner

Topper's Solved these Questions

  • MOTION IN A PLANE

    AAKASH SERIES|Exercise NUMERICAL EXERCISE (LEVEL -2)|19 Videos
  • MOTION IN A PLANE

    AAKASH SERIES|Exercise QUESTION FOR DESCRIPTIVE ANSWER|7 Videos
  • MOTION IN A PLANE

    AAKASH SERIES|Exercise VERY SHORT ANSWER TYPE QUESTIONS|10 Videos
  • MOTION IN A PLANE

    AAKASH SERIES|Exercise EXERCISE-3 (Circular Motion)|7 Videos
  • MOTION IN A STRAIGHT LINE

    AAKASH SERIES|Exercise very Short answer type question|15 Videos

Similar Questions

Explore conceptually related problems

A particle is projected at an angle theta =30^@ with the horizontal, with a velocity of 10ms^(-1) . Then

A body is projected at an angle of 30^@ with the horizontal and with a speed of 30 ms^-1 . What is the angle with the horizontal after 1.5 s ? (g = 10 ms^-2) .

A player kicks a ball at an angle of 37^(@) to the horizontal with an initial speed of 15 ms^(-1) . Find its time of fight.

A body is projected at angle 30° to the horizontal with a velocity 50 ms^(-1) maximum height of projectile is

A body is projected at angle 30° to horizontal with a velocity 50 ms^(-1) . Its time of flight is (g=10 m//s^2 )

A ball is projected at an angle 30° with the horizontal with the velocity 49 ms^(-1) . The horizontal range is

A stone of mass 0.4 kg is thrown vertically up with a speed of 9.8 ms^(-1) . Find the potential energy after half second.

A body is projected at angle 30° to horizontal with a velocity 50 ms^(-1) .In the above problem range of body is m. [g = 10 ms^(-2) ]

A particle is projected at an angle of 30^(@)w.r.t. horizontal with speed 20m//s:( use g=10m//s^(2)) (i) Find the position vector of the particle after 1s . (ii) Find the angle between velocity vector and position vector at t=1s .

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

AAKASH SERIES-MOTION IN A PLANE-NUMERICAL EXERCISE (LEVEL -1)
  1. A body is projected at 60^(@) with the horizontal with the velocity of...

    Text Solution

    |

  2. A particle is projected from a horizontal floor with speed 10(m)/(s) a...

    Text Solution

    |

  3. An object is projected vertically up from the earth’s surface with vel...

    Text Solution

    |

  4. A rod AB of length 2L and mass m is lying on a horizontal frictionless...

    Text Solution

    |

  5. Two tall buildings are 40 m apart. With what speed must a ball be thro...

    Text Solution

    |

  6. From the top of a cliff of height 19.6m a ball is projected horizonta...

    Text Solution

    |

  7. A cricket player throws the ball to have the maximum horizontal rang...

    Text Solution

    |

  8. A ball is projected horizontally from the top of a building 19.6 m hig...

    Text Solution

    |

  9. The range of a projectile fired at an angle of 15^@ is 50 m. If it is ...

    Text Solution

    |

  10. A stone is projected at angle of tan^(-1)(3//4) to the horizontal wi...

    Text Solution

    |

  11. The equation of motion of a body are given such that horizontal dis...

    Text Solution

    |

  12. A shell is fired from a long - range gun with an intial velocity ...

    Text Solution

    |

  13. Two bodies are thrown with the same initial speed at angle a and (90^(...

    Text Solution

    |

  14. Two balls are projected from the same point in the direction inclined...

    Text Solution

    |

  15. A stone is thrown horizontally with velocity g ms^(-1) from the top o...

    Text Solution

    |

  16. A body is thrown with the velocity u = 12.0 ms^(-1) at an angle of ...

    Text Solution

    |

  17. A ball is thrown with the velocity u at an angle of alpha to the hor...

    Text Solution

    |

  18. A ball is throw from the top of a tower of 61 m high with a velocit...

    Text Solution

    |

  19. A tennis ball rolls off the top of a stair case way with a horizontal ...

    Text Solution

    |

  20. If any point of a parabolic path of a projectile the velocity be u ...

    Text Solution

    |