5b746eaf-d1a8-4b1f-813b-072b62ef0522 5 15 12 decimal

&[DATE] &[TIME] - &[FILENAME]

m 189 :

V 17 :

p 1.42 :

I.xG 6.73 :

g 9.8 :

h.G 0.53 :

I.zG 36.4 :

ω 0.215 :

b.G 0.703 :

t x 501 ω t * π 2 / + sin - (* : t y 100 ω t * sin * : 21 sys

curvatura traiettoria

t c t x t diff t y t 2 diff * (t y t diff t x t 2 diff * (- (abs t x t diff (2^t y t diff (2^+ (32 /^/ :

x 0 > ( x 9 < ( & x c not defined if

raggio di curvatura

t R.c 1 t c / :

x 0 > ( x 9 < ( & x R.c not defined if

t α b.G t R.c / atan :

t Δ p t R.c / atan :

t F.sf b.G p t Δ cos * / m * V 2^t R.c / * :

t ψ'' m V 2^* b.G * t R.c / t α cos * t F.sf p * t Δ cos * - I.zG m b.G 2^* + / eval :

t ψ'' i.e: the RHS is the 2nd derivative ≡

If you want the 1rst derivative: simply integrate

t 012 0.025 range : data t t ψ'' vectorize augment : 21 sys

x λ 10 x ≤ (x 12 ≤ (& cases :

data Σ Finite differences Cumul Integration vx data 1 col : vy data 2 col : Y 1 el 0 : i 2 vx rows range Δx i el vx i el vx i 1 - el - : Y i el Y i 1 - el 12 / vy i 1 - el vy i el + (Δx i el * (* + : 21 line for vx Y augment 61 line :

x ψ'' x λ * data Σ 2 1 sys

t Clear 1

6 min @ acc 50 x f t ψ'' t 0 x int :

x f x λ *