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 principles of energy conservation and calculus. Here’s a step-by-step solution:

### Step 1: Understand the Initial Conditions
The body is projected with an escape velocity, which means it has enough kinetic energy to overcome gravitational potential energy and theoretically reach infinity. The escape velocity \( v_e \) is given by:

\[ v_e = \sqrt{\frac{2GM_e}{R_e}} \]
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