How could I use distance to raise altitude

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#1

So if you know basics of aviation, further something is the higher the object needs to go up in the sky.
So I am trying to make a brick lerp to the objective which already works as I use bodymover in lookvector to speed it up and lerp to rotate it to the object but is there a way to calculate the distance between the objects and then calculate the desired angle or something?

#2

I don’t understand what you’re asking, sorry. Could you clarify a bit?

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#3

image
image1201Ă—595 37.8 KB

I need the brick to have the left sort of travel style rather than the left basically

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#4

This is targeting coordinates btw but I’m not sure how to achieve this without elevating the brick higher than the destination coordinates

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#5

Maybe I’m just dumb, but I don’t understand what you’re trying to say with those two pictures.

At a high level, what are you trying to do? Are you making a catapult and you want to figure out launch angle and speed or something?

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#6

I need the brick to fly up in the air not go basically straight to the point when on similar height

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#7

OK, so you’re making a catapult?

You have some speed that you want the projectile to go, and you want to know the angle to launch it at, is that correct?

#8

The speed is a set amount but the object will get the angle to look at in the air and then will slowly turn to the object’s position

#9

This ended being kinda fun.

A bezier curve might work for this: BĂ©zier curve - Wikipedia

It’s this:

Where P0 is the starting point, P2 is the target, and P1 is just some value we choose that’s, say, ten studs above the midpoint between the start and end.

Stealing some equations from wikipedia for the equation of the tangent… and… done.

  1. Put a Part in workspace and put this in a LocalScript in StarterPlayerScripts or something.

  2. Test the game and click around.

local player = game.Players.LocalPlayer
local mouse = player:GetMouse()
local part = workspace:WaitForChild("Part")

local Fire
do
	local UP = Vector3.new(0, 1, 0)
	local conn
	function Fire(part, start, target, duration, heightControl)
		-- default parameters
		if not duration then duration = 1 end
		if not heightControl then heightControl = 10 end
		
		-- bezier calcs
		local control = (start + target) / 2 + Vector3.new(0, heightControl, 0)
		local ab = control - start
		local bc = target - control

		-- will move this from 0 to 1
		local t = 0
		
		-- kill any previous movement
		if conn then conn:Disconnect() end
		
		-- and start a new one
		conn = game:GetService("RunService").Stepped:Connect(function(_, dt)
			-- increment t by a bit
			t += dt / duration
			
			if t > 1 then
				-- reached the end
				t = 1
				conn:Disconnect()
				conn = nil
			end
			
			-- bezier equations from https://en.wikipedia.org/wiki/Bezier_curve
			local pos = (1-t)*(1-t)*start + 2*(1-t)*t*control + t*t*target
			local dir = (2*(1-t)*ab + 2*t*bc).Unit
			
			-- compute CFrame based on right vector and direction vector
			-- TODO handle the case where target is right above start
			local right = (target-start).Unit:Cross(UP)
			
			part.CFrame = CFrame.fromMatrix(pos, right, right:Cross(dir), -dir)
		end)
	end
end

mouse.Button1Down:Connect(function()
	Fire(part, part.Position, mouse.Hit.p)
end)

The Fire function takes 3-5 parameters.

Caveats:

  • This doesn’t follow physics. If you’re trying to use this to represent a projectile, there are more accurate ways. For visualization of like a plane (which I’m guessing is what you’re doing) it’s probably fine.
  • The speed along the curve is not exactly consistent for reasons. But I think it’s fine.
  • It takes a “duration” parameter rather than a “speed” parameter. You can get closer to a “speed” by setting duration = (target-start).Magnitude / studsPerSecond, but that won’t be exact. Computing the length of the curve itself is hard.
Calculate projectile position