1 is correct because "useful" works as an attributive adjective. In the other two you have to deal with a phrase "close to the horizon" and "running on the ground".
Interested in Language
s1. This is a useful book for children. (This seems right.)
s2. This is a book useful for children. (This seems right.)
s3. Look at the close stars to the horizon. (This seems awkward.)
s4. Look at the starts close to the horizon. (This seems right.)
s5. Look at the running man on the ground. (This seems awkward.)
s6. Look at the man running on the ground. (This seems right.)
Sometimes I am confused because of the position of modifiers.
If s1 is right, why do s3 and s5 seem awkward?
Thanks in advance.
***** NOT A TEACHER *****
Four scholars give these interesting examples:
1. The "stars visible" = stars that are visible at a specified time.
2. The "visible stars" = a category of stars that can be seen.
A similar example:
3. "rivers navigable" = refers to a temporary situation.
4. "navigable rivers" = refers to a permanent situation.
Source: Quirk et al., A Comprehensive Grammar of the English Language (1985 edition), page 419.