Projectile Arrow Angle Transformation Equation

[saad749]

I have an Archery game. I am firing the arrow with the projectile equation. I need the arrow to transform it angle during the flight as happens in real life. (For Example When Firing the Arrow at 90 degrees the Arrow should return with its head pointing straight to the ground and similarly for other angles). Is there any generic equation to calculate the transformation of the angle based on the initial angle, initial speed(x/y components), distance, time etc.

x = (Vi * Math.cos(Initial Angle) * t)+ 75; // Vix * t
y = ((Vi * Math.sin(Initial Angle) * t) - (0.5 * 10 * t * t)); // Viy * t - (0.5 * g * t^2)

A Example of what type of transformation I need : link deleted

In the above game the arrow always falls tip downwards no matter what the initial angle and velocity. I have to replicate this.

I am not a physics guy, so might be missing something very unreasonable and am implementing this game in Javascript :P

 

[Borek]

Arrow just points in the direction of its velocity vector.

 

[saad749]

Would u please explain what do u mean by vector of its velocity? or can u express it mathematically? Thanks.

 

[Borek]

Do you know what a vector is?

http://en.wikipedia.org/wiki/Euclidean_vector

 

[PJC01]

I can provide some insights and suggestions on how to approach this problem. The projectile arrow angle transformation equation is a mathematical representation of the trajectory of a projectile, which can be used to predict the position of an object at any given time during its flight.

In order to accurately simulate the transformation of the angle of the arrow during its flight, you would need to consider several factors such as initial angle, initial velocity, distance, and time. These factors can be used to calculate the position of the arrow at any given time during its flight.

One approach to achieve the desired transformation of the angle could be to use the equations for projectile motion, as shown in the example provided. However, these equations assume a perfect projectile with no air resistance, which may not accurately represent the real-life scenario of an arrow being fired.

Another approach could be to use a more advanced physics engine or simulation software that takes into account various factors such as air resistance, wind speed, and gravity to accurately simulate the transformation of the angle of the arrow during its flight.

Additionally, it would also be helpful to consult with experts in the field of archery or physics to ensure that the equations and calculations used are accurate and realistic.

In conclusion, while there may not be a generic equation to calculate the transformation of the angle of an arrow during its flight, with careful consideration of various factors and possibly consulting with experts, it is possible to accurately simulate this transformation in your archery game.