A missile is launched upward with a speed that is half the escape speed. What height (in radii of Earth) will it reach?

The height (h) will be:  

Explanation:

The scape speed equation is given by:

Now, the speed of the missile is

Using the conservation of energy, we can find the maximu height of the missile.

Let's recall that g = GM/R², using the equivalence principle. When R is the radius of the earth and M is the mass of the earth.

Therefore the height (h) will be:

I hope it helps you!

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