Then Moshe and Bnei Yisrael sang this song to Hashem, and spoke, saying: I will sing to Hashem, for he is highly exalted; the horse and his rider he has thrown into the sea.
Shiras Hayam was sung by Moshe, and Bnai Yisrael followed responsively (Sotah 30:b). At the outset Hashem reveals that He is wageing this battle. When man fights against man one throws the other off his horse. At the "Yam Suf" (Red Sea) Hashem threw the horse and rider together into the waters. He lifted them up and plunged them to the depths and yet they did not become seperated! This is why the word "Ga-ah" is used here; it refers to that which is impossible for a human being to do. (Rashi)
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