phenomenon 20.1 phen:parabolic-trajectory

open in the book · parts/03-classical-mechanics/03-exp-projectile-motion.tex:68 · p. 764

phenomenon-derivation: no proof, prooflink or pending derivation found (editorial rule 2)

Rests on

depends_on equation 18.7 eq:kin-const-acc-itinerary ¶
depends_on phenomenon 18.12 Uniformly accelerated motion ¶
- depends_on definition 18.11 Acceleration ¶
  - depends_on definition 7.26 Derivative of a function at a point ¶
    - depends_on definition 7.16 Limit ¶
      - depends_on definition 7.2 Absolute value ¶
      - depends_on definition 7.9 Real function ¶
    - depends_on definition 7.9 Real function ¶ ↺
  - depends_on definition 18.10 Velocity ¶
    - depends_on definition 7.26 Derivative of a function at a point ¶ ↺
    - depends_on definition 18.9 Position ¶
      - depends_on definition 18.7 Frame of reference ¶
      - depends_on definition 18.3 Particle ¶
    - depends_on definition 13.9 Tangent vector to a curve ¶
      - depends_on definition 13.8 Curve ¶
- depends_on equation 18.7 eq:kin-const-acc-itinerary ¶ ↺
- proves proof ch:01-kinematics@proof-1 ¶

Supports

assumes experiment Absolute Ballistic Gravimetry (1995–present) ¶
depends_on theorem 20.2 Parabolic trajectory ¶
- depends_on corollary 20.3 Range, apex, time of flight ¶
  - depends_on example 20.4 ex:projectile-everyday ¶
  - depends_on phenomenon 20.6 Air drag ¶
  - depends_on proposition 20.9 Linear resistance: exact motion, and the lost range ¶
    - depends_on remark 20.11 What has no closed form, and what to do about it ¶
- depends_on phenomenon 20.6 Air drag ¶ ↺
- depends_on remark 20.5 rem:projectile-idealisation ¶
tests experiment Galileo's Inclined Planes ¶

Neighborhood

Every logical edge within two steps of this node.

declared and complete
partly declared
a check failed
not graded
declared in the source
inferred from structure

Edges

type	direction	node	provenance	where
`cites`	→	Discorsi e dimostrazioni matematiche intorno a due nuove scienze	derived	parts/03-classical-mechanics/03-exp-projectile-motion.tex:77
`depends_on`	→	eq:kin-const-acc-itinerary	declared	parts/03-classical-mechanics/03-exp-projectile-motion.tex:78
`depends_on`	→	Uniformly accelerated motion	declared	parts/03-classical-mechanics/03-exp-projectile-motion.tex:78
`assumes`	←	Absolute Ballistic Gravimetry (1995–present)	declared	parts/03-classical-mechanics/03-exp-projectile-motion.tex:328
`depends_on`	←	Parabolic trajectory	declared	parts/03-classical-mechanics/03-exp-projectile-motion.tex:95
`tests`	←	Galileo's Inclined Planes	declared	parts/03-classical-mechanics/03-exp-projectile-motion.tex:247