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## Homework Statement

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

a. R/4

b. R/3

c. R/2

d. R

e. 2R

## Homework Equations

escape speed=√(2GM/r)

## The Attempt at a Solution

r is inversely proportional to the square of the speed so if v is now 2v then r will be r/4

the answer key says its supposed to be r/3 :s