A body is projected vertically upward from the surface of earth with a velocity sufficient to carry it to initially. Calculate the time taken by it to reach height `h`.

Explanation

To solve the problem of calculating the time taken by a body projected vertically upward from the surface of the Earth to reach a height \( h \), we will use the concepts of energy conservation and calculus. Here’s the step-by-step solution:

### Step 1: Understand the Initial Conditions
The body is projected with escape velocity \( V_e \). The escape velocity from the surface of the Earth is given by:
\[ V_e = \sqrt{\frac{2GM_e}{R_e}} \]
where \( G \) is the gravitational constant, \( M_e \) is the mass of the Earth, and \( R_e \) is the radius of the Earth.
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