( First ( , ( ( ( ( finding ( the ( launch angle ) ) ) ( for ( maximum horizontal ) ) ) ( range ( in ( idealized ( projectile motion ) ) ) ) ) . ) ) )
(ROOT (S (ADVP (RB First)) (, ,) (VP (VBG finding) (NP (DT the) (NN launch) (NN angle)) (PP (IN for) (NP (JJ maximum) (NN horizontal)))) (VP (VBP range) (PP (IN in) (NP (JJ idealized) (NN projectile) (NN motion)))) (. .)))
First, finding the launch angle for maximum horizontal range in idealized projectile motion.
(ROOT (S (NP (NNP Range)) (VP (VBZ is) (NP (NP (DT the) (NN term)) (PP (IN for) (NP (NP (DT the) (JJ horizontal) (NN displacement)) (PP (IN of) (NP (NP (DT a) (NN projectile)) (PP (IN from) (NP (PRP$ its) (JJ starting) (NN point))))))))) (. .)))