Answer :

Given: Time of Ascent =

Time of Descent =

Acceleration = a = –g

(Negative due to opposite direction)

Let h be the height attained and u be the initial velocity

Now, using equations of motion:

This is a quadratic equation and, this will have two solution.

The two solutions will be and, because and are the two times taken to cover distance h.

So, and are two roots of the equation.

Now, using the properties of roots:

..1

..2

From 1:

From 2:

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