Home
Class 12
PHYSICS
A body is projected veritclaly upwards.T...

A body is projected veritclaly upwards.The times corresponding to height h while ascending and while descending are `t_(1)` and `t_(2)` respectively.
Then, the velocity of projection will be (take g as acceleration due to gravity)

A

`(g sqrt (t _(1) t_(2)))/( 4 )`

B

`(g t_(1) t _(2))/(t _(1) + t_(2))`

C

`(g sqrt (t _(1) t_(2)))/(2 ) `

D

`(g (t _(1) + t _(2)))/(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MOTION IN A STRAIGHT LINE & PLANE

    VMC MODULES ENGLISH|Exercise EFFICIENT|50 Videos
  • MOCK TEST 9

    VMC MODULES ENGLISH|Exercise PHYSICS (SECTION 2)|5 Videos
  • Motion in Straight Line

    VMC MODULES ENGLISH|Exercise IN-CHAPTER EXERCISE-J|10 Videos

Similar Questions

Explore conceptually related problems

The maximum height reached by projectile is 4 m . The horizontal range is 12 m . The velocity of projection in m s^-1 is (g is acceleration due to gravity)

A projectile is projected tangentially from the surface of a planet of radius R. If it is at a height of 3R at the farthest point of its trajectory, then the velocity of projection V_(0) is given by ( acceleration due to gravity on surface=g)

A ball is projected vertically up such that it passes thorugh a fixed point after a time t_(1) and t_(2) respectively. Find a. The height at which the point is located with respect to the point of projeciton b. The speed of projection of the ball. c. The velocity the ball at the time of passing through point P . d. (i) The maximum height reached by the balll relative to the point of projection A (ii) maximum height reached by the ball relative to point P under consideration. e. The average speed and average velocity of the ball during the motion from A to P for the time t_(1) and t_(2) respectively. .

A particle is projected vertically upwards and it reaches the maximum height H in time T seconds. The height of the particle at any time t will be-

A stone is projected horizontally with speed v from a height h above ground. A horizontal wind is blowing in direction opposite to velocity of projection and gives the stone a constant horizontal acceleration f( in direction opposite to initial velocity ) .As a result the stone falls on ground at a point vertically below the point of projection. Then the value of height h in terms of f,g,v is (g is acceleration due to gravity 0

A body is projected up a smooth inclined plane of length 20sqrt(2)m from point A as shown in the figure. The top of B of the inclined plane is connected to a well of diameter 40 m. If the body just manages to cross the well then the velocity of projection is (Acceleration due to gravity, g=10ms^(-2) )

Find the time required for a cylindrical tank of radius r and height H to empty through a round hole of area a at the bottom. The flow through the hole is according to the law v(t)=ksqrt(2gh(t)) , where v(t) and h(t) , are respectively, the velocity of flow through the hole and the height of the water level above the hole at time t , and g is the acceleration due to gravity.

Find the time required for a cylindrical tank of radius r and height H to empty through a round hole of area a at the bottom. The flow through the hole is according to the law v(t)=ksqrt(2gh(t)) , where v(t) and h(t) , are respectively, the velocity of flow through the hole and the height of the water level above the hole at time t , and g is the acceleration due to gravity.

A body is projected vertically upwatds at time t=0 and is it seen at a height H at time t_1 and t_2 second during its flight. The maximum height attainet is (g is acceleration due to garavity).

A particle is projected vertically upwards and reaches the maximum height H in time T. The height of the partlcle at any time t (lt T) will be

VMC MODULES ENGLISH-MOTION IN A STRAIGHT LINE & PLANE -IMPECCABLE
  1. Which of the folowing can be zero, when a particle is in motion for so...

    Text Solution

    |

  2. A parachutist, after bailing out, falls 50 m without friction, When th...

    Text Solution

    |

  3. A body is projected veritclaly upwards.The times corresponding to heig...

    Text Solution

    |

  4. A particle moves in a straight line with a constant acceleration. It c...

    Text Solution

    |

  5. A car, starting from rest, accelerates at the rate f through a distanc...

    Text Solution

    |

  6. A particle moving in a straight line covers half the distance with a s...

    Text Solution

    |

  7. A car moving with a speed of 50 km h^(-1) can be stopped by brakes aft...

    Text Solution

    |

  8. The coordinates of a moving particle at any time't' are given by x = a...

    Text Solution

    |

  9. For a given initial speed, a projectile has the same range R for two a...

    Text Solution

    |

  10. A monkey is sitting on the tree. A hunter fires a bullet to kill him. ...

    Text Solution

    |

  11. A particle of mass m is projectile with veoocity u making an angle of ...

    Text Solution

    |

  12. The displacement of a particle starting from (at t = 0) is given by s=...

    Text Solution

    |

  13. A stone is thrown vertically upwards. When stone is at a height half o...

    Text Solution

    |

  14. Two projectiles are fired from the same point with the same speed at ...

    Text Solution

    |

  15. A ball is projected vertically upwards with a certain initial speed. A...

    Text Solution

    |

  16. The position x of a particle varies with time t as x=at^(2)-bt^(3). Th...

    Text Solution

    |

  17. A body iniitially at rest is moving with uniform acceleration a. Its v...

    Text Solution

    |

  18. A paricle stating from the (o,o) moves in a stainght line in the (x,y)...

    Text Solution

    |

  19. A particle has displacement of 12 m towards east and 5 m towards north...

    Text Solution

    |

  20. A wheel completes 2000 revolutions to cover the 9.5 km distance. Find ...

    Text Solution

    |