In the live-action movie adaptation, Ariel gets one more reprise of her iconic song, this time placed after her dicovery that Eric has found Vanessa and forgotten all about Ariel. As this is Ariel's lowest emotional point, her heart sings this sorrowful reprise of what was previously a triumphant song.
One of the side-effects of this reprise is that it means that the live-action movie is bookended on both sides by "Part of Your World" -- Ariel's theme becomes the first song and the last song of the movie.
Risking it all
Only to fall
Back where I started
Back near the shore
Back to before
You took my hand
Betcha on land
They understand
And they don't strand
You broken-hearted
What did I give to live where you are
Where do I go with nowhere to turn to