Solution:
A body is thrown vertically upward with velocity , the greatest height to which it will rise is .According to newton’s third law equation of motion, we can write that,
,
where represents the final velocity, u is the initial velocity and s is the displacement.
Here the final velocity with which the body is being finally found is considered to be zero when the object reaches its maximum height i.e. . Therefore we can write,
The acceleration of the body will be equal to the acceleration due to gravity as it is falling freely.
And also, the distance the body travels will be equal to the maximum height.
Substituting these all in the equation we get,
