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[HELP] How to calculate throw trajectories?

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@THakker wrote:

I'm trying to figure out how to calculate trajectories for throwing objects like grenades, axes, cannon balls etc.

I got this example for Unity working to some degree: http://www.aboutpixels.me/unity-2d-parabolic-trajectory-projectile-motion-calculation but it doesn't have the curve I'd like to have. It also doesn't have maximum velocities, which is also a problem. Doesn't make sence that you can throw grenade from other side of the world right?

Here's illustration how I'd want it to work:

Does anyone have example for this?

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