Tarzan Swing

Input:

*LAUNCH ANGLE*
theta: {theta = atan((L - Wx) / (F - Wy))} rad | {theta rad to deg} degrees

Vprime: {Vprime = sqrt((F - Wy)^2 + (L - Wx)^2)} m | {Vprime m to in} in
deltaL: {deltaL = V - Vprime} m | {deltaL m to in} in

deltaX: {deltaX = deltaL * sin(theta)} m | {deltaX m to in} in
deltaY: {deltaY = deltaL * cos(theta)} m | {deltaY m to in} in

*POSITION OF BALLOON WHEN CUT*
Xo: {Xo = Wx - deltaX} m | {Xo m to in} in
Yo: {Yo = Wy - deltaY} m | {Yo m to in} in

*VELOCITY AT CUT POINT*
Vcut: {Vcut = sqrt(2 * g * (H - Yo))} m/s

Vox: {Vox = Vcut * cos(theta)} m/s
Voy: {Voy = Vcut * sin(theta)} m/s

*TIME AT THE POINT OF EXIT*
T: {T = Xo / Vox} seconds

*Y POINT WHERE X HITS THE OPENING*
Yf: {Yf = Yo + Voy * T - .5 * g * T^2} m | {Yf m to in} in
Is exit ok?: {(C - 0.1524/2) < Yf < (C + 0.1524/2)}

Container height:
N: {N = 0.1524} m

*TOTAL TIME CALCULATION*
Treal: {Treal = (Voy + sqrt(Voy^2 - 2 * g * (N - Yo))) / g} seconds

Xreal: {Xreal = Vox * Treal}
R: {R = Xreal - Xo} m | {R m to in} in

*TENSION CALCULATIONS*
Lowest point speed = {LPS = sqrt(2 * g * H)} m/s
Fy: {Fy = (0.1(LPS^2))/V} N
Tension: {Tension = Fy + (0.1)g} N
Is tension ok?: {Tension < 10}

Place formulas in braces ({...}) for them to be evaluated

Output:

Variables

Environment