( ( where ( v ( is ( ( the ( instantaneous velocity ) ) ( of ( the pellet ) ) ) ) ) ) . )
(ROOT (FRAG (SBAR (WHADVP (WRB where)) (S (NP (NN v)) (VP (VBZ is) (NP (NP (DT the) (JJ instantaneous) (NN velocity)) (PP (IN of) (NP (DT the) (NN pellet))))))) (. .)))
where v is the instantaneous velocity of the pellet.
(ROOT (S (NP (JJ Instantaneous) (NN velocity)) (VP (VBZ is) (VP (VBN defined) (PP (IN as) (NP (NP (DT the) (NN velocity)) (PP (IN of) (NP (DT the) (NN object))))) (PP (IN at) (NP (DT a) (VBN given) (NN moment))))) (. .)))