Home
Class 11
PHYSICS
A body is thrown vertically upward with ...

A body is thrown vertically upward with velocity `u`. The ratio of times at which it is at particular height `h` is `1 : 2`. What is the maximum height reached by the body above point of projection ?

A

`(9//4)h`

B

`(4//3)h`

C

`(9//8) h`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
`H = (u^2)/(2 g)` …(i)
`(t_1)/(t_2) = (1)/(2) rArr 2t_1 = t_2` ….(ii)
`u = (1)/(2) g(t_1 + t_2)` …(iii)
`h = (1)/(2) g t_1 t_2` …(iv)
From (ii),(iii) and (iv) `u^2 = (9gh)/(4)`
Put `u^2` in equation (i) : `H = (9)/(8) h`.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • GENERAL KINEMATICS AND MOTION IN ONE DIMENSION

    A2Z|Exercise Relative Motion In One Dimension|20 Videos

  • GENERAL KINEMATICS AND MOTION IN ONE DIMENSION

    A2Z|Exercise Understanding Motion Through Graphs|40 Videos

  • GENERAL KINEMATICS AND MOTION IN ONE DIMENSION

    A2Z|Exercise Motion With Constant Acceleration|30 Videos

  • FLUID MECHANICS

    A2Z|Exercise Chapter Test|29 Videos

  • GRAVITATION

    A2Z|Exercise Chapter Test|29 Videos

Similar Questions

Explore conceptually related problems

A body is thrown vertically upwards with a velocity of 98 m//s . If g = 9.8 m//s^(2) , when will it reach its highest point ? What will be its maximum height ?

A stone is thrown vertically upwards with a velocity of 4.9 ms^(-1) . Calculate : the maximum height reached.

Knowledge Check

  • A body is thrown vertically upward with velocity u, the greatest height h to which it will rise is

    A
    `u // g`
    B
    `u^(2) // 2g`
    C
    `u^(2)//g`
    D
    `u//2g`

  • A body is thrown vertically upward with velocity u , the greatest height h to which it will rise is,

    A
    `u//g`
    B
    `u^(2)//2g`
    C
    `u^(2)//g`
    D
    `u//2g`

  • At the maximum height of a body thrown vertically up

    A
    velocity is not zero but acceleration is zero
    B
    acceleration is not zero but velocity is zero.
    C
    both acceleration and velocity are zero.
    D
    both acceleration and velocity are not zero.

    • Similar Questions

    Explore conceptually related problems

    A body is throw vertically upward with a velocity of 9.8 m/s. Calculate the maximum height attained by the body.

    A ball is thrown vertically upwards with a velocity of 4.9m/s Find (i) the maximum height reached by the ball (ii) time taken to reach the maximum height

    A stone is thrown vertically upwards with a velocity of 4.9 ms^(-1) . Calculate : the time taken to reach the maximum height.

    When a body is projected vertically up from ground, its velocity is reduced to 1/3 rd of initial velocity at height 'y' above the ground. Then maximum height reached by the body is

    Two bodies are thrown vertically upwards with their initial velocity in the ratio 2:3. Then the ratio of the maximum height attained by them is

    Home
    Profile