We can map all of \(\mathbb{P}^1\) to a single point: $$ p \colon \mathbb{P}^1 \to \mathbb{P}^1 $$ and this map clearly has \(p^2 = p\). Thus, in the category \(\mathsf{Mot}\) we have $$ h(\mathbb{P}^1) = h(1) \oplus \mathbb{L} $$ where \(1\) corresponds to the point and \(\mathbb{L}\) is some motive called the Lefschetz motive.