( ( ( The acceleration ) ( of ( an object ) ) ) ( ( ( is ( directly ( proportional ( to ( the ( net ( external force ) ) ) ) ) ) ) ( ( ( acting ( on ( the object ) ) ) and ) ( inversely ( proportional ( to ( ( the mass ) ( of ( the object ) ) ) ) ) ) ) ) . ) )
(ROOT (S (NP (NP (DT The) (NN acceleration)) (PP (IN of) (NP (DT an) (NN object)))) (VP (VBZ is) (ADJP (RB directly) (JJ proportional) (PP (TO to) (NP (DT the) (JJ net) (JJ external) (NN force)))) (S (VP (VP (VBG acting) (PP (IN on) (NP (DT the) (NN object)))) (CC and) (VP (ADVP (RB inversely)) (VBG proportional) (PP (TO to) (NP (NP (DT the) (NN mass)) (PP (IN of) (NP (DT the) (NN object))))))))) (. .)))
The acceleration of an object is directly proportional to the net external force acting on the object and inversely proportional to the mass of the object.
(ROOT (S (NP (NNS Experiments)) (VP (VBP have) (VP (VBN shown) (SBAR (IN that) (S (NP (NN acceleration)) (VP (VBZ is) (ADVP (RB exactly)) (ADVP (RB inversely) (NP (CD proportional)) (PP (TO to) (NP (NN mass)))) (, ,) (SBAR (RB just) (IN as) (S (NP (PRP it)) (VP (VBZ is) (ADVP (RB exactly)) (ADJP (RB linearly) (JJ proportional) (PP (TO to) (NP (DT the) (JJ net) (JJ external) (NN force)))))))))))) (. .)))