Tokyo ESP Vol. 1 by Hajime Segawa Manga

Tokyo ESP Manga by Hajime Segawa There's a New Heorine in Town. Rinka Urushiba's world is turned upside down when she wakes up one day after falling right through the floor. Encouraged by another ESPer who belives that Rinka's destiny is to become a hero of justice, she soon learns to use her powers for good. And not a moment too soon, as those with less-than-admirable ambitions descend on Tokyo with their own sets of superpowers.