A body is projected vertically upwards from the surface of the earth with a velocity equal to half of escape velocity of the earth. If `R` is radius of the earth, maximum height attained by the body from the surface of the earth is

Explanation

To solve the problem of finding the maximum height attained by a body projected vertically upwards with a velocity equal to half of the escape velocity of the Earth, we can follow these steps:

### Step 1: Understand the Given Data
- The escape velocity \( V_e \) from the surface of the Earth is given by the formula:
\[ V_e = \sqrt{\frac{2GM}{R}} \]
where \( G \) is the gravitational constant, \( M \) is the mass of the Earth, and \( R \) is the radius of the Earth.
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