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2d parabolic shell

I am looking to create a basic Javascript implementation of a projectile that follows a parabolic arc (or something close to one) in order to reach a certain point. I am not particularly well versed when it comes to complex mathematics, and spent days reading material on the problem. Unfortunately, mathematical solutions are useless to me. I am ideally looking for pseudo code (or even an existing code example) to try to get around it. Everything I find offers only partial solutions to the problem.

In practical terms, I am looking to simulate the flight of an arrow from one place (bow place) to another. I have already simulated the effects of gravity on my projectile, updating its speed on each logical interval. What I'm looking for right now is exactly how I determine the correct path / angle to shoot my arrow in order to reach my goal in no time.

Any help would be greatly appreciated.

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2 answers

The clear answer is a good summary of how to simulate the movement of an object, taking into account the initial trajectory (where the trajectory is considered as a direction and the velocity or in combination is a vector).

( ), , O P.

, P , O. .

, (.. [0, 0]), :

T_x = P_x - O_x            // the X distance to travel
T_y = P_y - O_y            // the Y distance to travel

s_x = speed * cos(angle)   // the X speed
s_y = speed * sin(angle)   // the Y speed

(x, y) (t) :

x = s_x * t
y = s_y * t - 0.5 * g * (t ^ 2)


T_x = s_x * t
T_y = -0.5 * g * (t ^ 2) + s_y * t

(t, s_x s_y) . , .

FWIW, s_x s_y speed, angle, - .

, , - , .

NB: , . , , , Pointy , . (.. 10 ), .

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edit — . @Alnitak - .

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