71621a36-a3c2-4a95-b1fd-7c7e351ef7b2 19 4 5 decimal

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

Adapted [Quinet V, 93,94]

system is implit SI

trajectory Vo α g xo t y 1 - 2 / g t xo - (2^* Vo α cos * (2^/ * t xo - (α tan * + :

high point trajectory Xmax Vo 2^α sin * 2 g * / : ... Ymax Vo α g xo Xmax y : 13 mat

impact distance [m] Xh Vo α cos * g / Vo α sin * Vo α sin * (2^2 g * h abs * + sqrt + (* :

impact distance wrt angle [αo]
αo<45° flat shot ... αo>45° plunge αo D Vo αo cos * g / Vo αo sin * Vo αo sin * (2^2 g * + sqrt + (* :

a 0 : b 300 : N 20 : 13 mat

Vo 50 : α 45 ° * : g 9.807 : xo 0 : h 25 - : 15 mat

u xstep b a - N / : i N 1 range x i 1 + el xstep i * : for x a + 31 line :

x c 10 x ≤ cases :

α t Cannon Vo α g xo x y :

Vo α g xo x y x c *

PLOT 20 ° * x Cannon 30 ° * x Cannon 40 ° * x Cannon 45 ° * x Cannon 50 ° * x Cannon 60 ° * x Cannon 70 ° * x Cannon 80 ° * x Cannon 81 sys :

meter SI m 1 :

PLOT

20 ° * D 70 ° * D 21 mat m 166.6 164.2 21 mat

D 200 :

solve angle for distance D ... solver is 'rad' angle αo D D - αo 0.25 1.25 solve : ° 25.47 64.25 21 mat

angle 1 el x Cannon x c * angle 2 el x Cannon x c * D 0 . 15 black 1 5 mat 3 1 sys

sanity 25.47 ° * D 64.25 ° * D 21 mat m 20020021 mat