Home
Class 12
PHYSICS
A particle is projected from the ground ...

A particle is projected from the ground at an angle such that it just clears the top of a polar after `t_1` time its path. It takes further `t_2` time to reach the ground. What is the height of the pole ?

Text Solution

AI Generated Solution

To find the height of the pole that a particle just clears after being projected, we can follow these steps: ### Step 1: Understand the motion of the particle The particle is projected from the ground at an angle and takes time \( t_1 \) to reach the top of the pole and then takes an additional time \( t_2 \) to reach the ground. The total time of flight is \( t_1 + t_2 \). ### Step 2: Use the total time of flight formula The total time of flight for a projectile is given by the formula: \[ ...
Promotional Banner

Topper's Solved these Questions

  • MOTION IN A PALNE

    ALLEN|Exercise EXERCISE-3|40 Videos
  • KINEMATICS-2D

    ALLEN|Exercise Exercise (O-2)|46 Videos
  • NEWTON'S LAWS OF MOTION & FRICTION

    ALLEN|Exercise EXERCISE (JA)|4 Videos

Similar Questions

Explore conceptually related problems

A ball is released from the top of a tower of height h metre. It takes T second to reach the ground. What is the position of the ball in T/3 second?

A ball is released from the top of a tower of height h metre. It takes T second to reach the ground. What is the position of the ball in T/3 second?

A ball is released from the top of a tower of height h metre. It takes T second to reach the ground. What is the position of the ball in T/3 second?

A ball is released from the top of a tower of height h metre. It takes T second to reach the ground. What is the position of the ball in T/3 second?

A particle is projected vertically upwards from a point A on the ground. It takes t_(1) time to reach a point B but it still continues to move up. If it takes further t_(2) time to reach the ground from point B then height of point B from the ground is :-

A body is released form the top of a tower of height h meters. It takes t seconds to reach the ground. Where is the ball at the time t/2 sec ?

A particle is projected from the ground with velocity u making an angle theta with the horizontal. At half of its maximum heights,

A particle is projected from the ground at t = 0 so that on its way it just clears two vertical walls of equal height on the ground. The particle was projected with initial velocity u and at angle theta with the horiozontal. If the particle passes just grazing top of the wall at time t = t_1 and t = t_2 , then calculate. (a) the height of the wall. (b) the time t_1 and t_2 in terms of height of the wall. Write the expression for calculating the range of this projectile and separation between the walls.

A particle is projected from ground with velocity 40sqrt(2)m//s at 45^(@) . At time t=2s

A body is released from the top of a tower of height h and takes 'T' sec to reach the ground. The position of the body at T/2 sec is

ALLEN-MOTION IN A PALNE-SOLVED EXAMPLE
  1. Two bodies are thrown with the same initial speed at angle a and (90^(...

    Text Solution

    |

  2. The range of a particle when launched at an angle of 15^(@) with the h...

    Text Solution

    |

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

    Text Solution

    |

  4. A body is projected with the velocity 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. IF a particle moves according to the equatin y = x -(x ^(2))/(2), then...

    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. Th...

    Text Solution

    |

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

    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 a velocity 5.0hat(i)m//s and...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |