Home
Class 9
PHYSICS
A body is thrown vertically upward with ...

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`

Text Solution

Verified by Experts

The correct Answer is:
C

Given, initial velocity = u, height = h and a = g (acceleration due to gravity) At the highest point, final velocity becomes zero i.e., v = 0
From , third equation of motion, `v^(2) = u^(2) - 2gh`
`0 = u^(2) - 2gh`
`2gh = u^(2)`
`rArr h = (u^(2))/(2g)`
Here, we have used negative sign because the body is moving against the gravity.
Promotional Banner

Topper's Solved these Questions

  • MOTION

    NCERT EXEMPLAR|Exercise Short Answer Type Questions|1 Videos
  • GRAVITATION

    NCERT EXEMPLAR|Exercise Gravitation|26 Videos
  • SOUND

    NCERT EXEMPLAR|Exercise Sound|20 Videos

Similar Questions

Explore conceptually related problems

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 body is thrown vertically upwards with a velocity u . Find the true statement from the following

A body is thrown vertically upward with velocity u . The distance traveled by it in the fifth and the sixth second are equal. The velocity u is given by

A ball is thrown vertically upwards with a velocity of 49 ms^-1 . Calculate :The maximum height to which it rises

A body A is thrown vertically upwards with such a velocity that it reaches a maximum height of h. Simultaneously, another body B is dropped from height h. It strikes the ground and does not rebound. The velocity of A relative to B versus time graph is best represented by (upward direction is positive).