The path that a moving object follows through space as a function of time. It can be described mathematically either by the geometry of the path, or as the position of the object over time.

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7
votes
2answers
10k views

How can I find a projectile's launch angle?

I am making a 2d game in which units fire arrows at each other. I know the shooter's and the target's position and the initial velocity of the projectile. I want to know the angle the projectile ...
4
votes
2answers
906 views

Tracking Object Position - Firing on a Trajectory

How can I calculate the position of an object after "firing" it from a fixed point? I am to create a small game - most likely with canvas (pure HTML, JS based) or Adobe Flash - in which the player ...
5
votes
3answers
236 views

How can I launch a GameObject at a target if I am given everything except for its launch angle?

I have been working on this one for a few weeks, and I have yet to succeed. I have searched every resource out there, and tried them all, but still without success, so I do not believe existing links ...
20
votes
3answers
2k views

How does one avoid the “staircase effect” in pixel art motion?

I am rendering sprites at exact pixel coordinates to avoid the blurring effect caused by antialiasing (the sprites are pixel-art and would look awful if filtered). However, since the movement of the ...
5
votes
1answer
444 views

How to account for acceleration when aiming projectiles?

How do I aim a constant speed projectile to hit a target if there is a constant acceleration vector acting on it? (For example, the wind and gravity from Worms.)
21
votes
3answers
3k views

How can I move an object in an “infinity” or “figure 8” trajectory?

When I want to move object around point I do: point.x *= cosf(timer.timeElapsed); point.y *= sinf(timer.timeElapsed); How to make point move on eight or infinity sign trajectory?
8
votes
1answer
892 views

Projected trajectory of a vehicle?

In the game I am developing, I have to calculate if my vehicle (1) which in the example is travelling north with a speed V, can reach its target (2). The example depict the problem from atop: There ...
8
votes
1answer
2k views

How to make an arrow land at a specific position in 3D world space

In my game when I click with the mouse on the terrain somewhere, I'd like the player to fire an arrow to that position in a parabolic fashion. The arrow has a position, acceleration and velocity all ...
0
votes
1answer
222 views

Displaying Trajectory Path [closed]

How can I display trajectory path exactly as in this image? I have used void OnDrawGizmos, but that only displays trajectory in the editor and without any arrows like shown below. Trajectory with ...
2
votes
2answers
133 views

Calculating initial velocities given trajectory parabola

I'm working on a volleyball game but my maths/physics knowledge isn't quite up to par. I need some help with the following problem: The player can hit the ball from anywhere on the left of the court ...
1
vote
1answer
24 views

How do I take 2D ballistic trajectory planning and apply it to 3D?

I am currently using this formula speed = sqrt((gravity.y*target.x^2)/(2*cos^2(angle)*(target.y - target.x*tan(angle))) provided by DMGregory as an answer for my question here to determine the ...
0
votes
1answer
55 views

Calculate initial velocity for trajectory given duration, launch angle, and distance

I need my entity to go from point A to point B with a given launch angle over a given time. I've been able to figure out the initial velocity without the constraint of the launch angle, but I can't ...
0
votes
1answer
325 views

Lunar lander: How to calc acceleration in each step

I'm trying to make a lunar lander simulator. I'm going to use a simple Euler integration. AFAIK all I've to calculate is the acceleration in each step, and then I should be able to update velocity and ...