( ( The ( graphical solution ) ) ( ( ( ( ( yields ( the ( velocity four-vector ) ) ) explicitly ) , ) ( with ( ( ( direct application ) ( to ( ( ( more advanced ) topics ) ( in ( special relativity ) ) ) ) ) ( involving ( mass ( , ( ( momentum and ) energy ) ) ) ) ) ) ) . ) )
(ROOT (S (NP (DT The) (JJ graphical) (NN solution)) (VP (VBZ yields) (NP (DT the) (NN velocity) (NN four-vector)) (ADVP (RB explicitly)) (, ,) (PP (IN with) (S (NP (NP (JJ direct) (NN application)) (PP (TO to) (NP (NP (ADJP (RBR more) (JJ advanced)) (NNS topics)) (PP (IN in) (NP (JJ special) (NN relativity)))))) (VP (VBG involving) (NP (NN mass) (, ,) (NN momentum) (CC and) (NN energy)))))) (. .)))
The graphical solution yields the velocity four-vector explicitly, with direct application to more advanced topics in special relativity involving mass, momentum and energy.
(ROOT (S (NP (NNP Momentum)) (VP (VBZ is) (ADJP (RB directly) (VBN related) (PP (TO to) (NP (NP (DT both) (NN mass)) (CC and) (NP (NN velocity)))))) (. .)))