Flight of a projectile.

A = launch angle; V_0 = initial velocity; V_X,Y = x,y components of initial velocity; X,Y_0 = initial position;
m= mass; g = gravitational acceleration;

a=slider([0,1,40])

V_0=slider([0,100])

A=pi/2*a

V_X=V_0*cos(A),V_Y=V_0*sin(A)

X_0=0,Y_0=0

m=1,g=1

function(X,T)=vector(X_0+V_X*T,Y_0+V_Y*T-(1/2*g*T^2))

Projectile and its path:

function(X,n)

function(X,t*n)

Velocity vector:

function(X,n),function(X,n)+vector(V_X,V_Y-(g*n))

x and y components of velocity:

function(X,n),function(X,n)+vector(V_X,0)

function(X,n),function(X,n)+vector(0,V_Y-(g*n))

Force vector:

function(X,n),function(X,n)+vector(0,-(m*g))

Monkey's distance D from the hunter and height H:

D=25,H=10

Hunter should aim at monkey,

atan([H/D])

y=H/D*x

vector(D,H-(1/2*g*n^2))


Author: David A. Craig <http://web.lemoyne.edu/~craigda/>

Graph of the formula

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