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pluto_physics.jl
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### A Pluto.jl notebook ###
# v0.19.42
using Markdown
using InteractiveUtils
# This Pluto notebook uses @bind for interactivity. When running this notebook outside of Pluto, the following 'mock version' of @bind gives bound variables a default value (instead of an error).
macro bind(def, element)
quote
local iv = try Base.loaded_modules[Base.PkgId(Base.UUID("6e696c72-6542-2067-7265-42206c756150"), "AbstractPlutoDingetjes")].Bonds.initial_value catch; b -> missing; end
local el = $(esc(element))
global $(esc(def)) = Core.applicable(Base.get, el) ? Base.get(el) : iv(el)
el
end
end
# ╔═╡ 5ffc5ec0-f91f-11ec-0552-37ef5f25102d
begin
using PlutoUI
using Plots
using Symbolics
using ForwardDiff
using LaTeXStrings
using Images
using TestImages
using ImageView
using LinearAlgebra
# using FFTW
# using DSP
nbsp = html" "
end
# ╔═╡ 0440bbe2-4865-4fd8-bb6d-5ec6d2eaa480
md"""
## Projectile Motion
"""
# ╔═╡ e1954d6b-f1d2-47e8-8014-f3f76a616a87
md"""
$θ$ = $(@bind θ Slider(0:1:90, show_value=true, default=30)) $nbsp degree
"""
# ╔═╡ 7cb7371d-b74f-4051-adee-5e1692378811
begin
t2=range(0, 10, length = 101);
x2=cos(pi*θ/180)*t2;
z2=sin(pi*θ/180)*t2-t2.^2/5;
for i=1:1
end
end
# ╔═╡ ce96860a-c201-445b-b540-1813a7ba48a1
begin
plot([0,cos(pi*θ/180)],
[0,sin(pi*θ/180)],
label="initial velocity",
arrow=3,
linewidth=2,
linecolor=:skyblue,
ylim=[-2,2],
xlim=[-0.5,4],
grid=false,
title="Projectile Motion",
foreground_color_legend=nothing,
legendfontsize=14,
titlefont=font(18,color=:black),
axis=false,
aspect_ratio=1.0,
legend=:topright)
plot!(x2,z2,
label="orbit",
linewidth=2,
linecolor=:magenta)
plot!([-0.5,3.5],[0,0],
label=false,
arrow=3,
linewidth=1,
linecolor=:black,
annotations = [(3.7,0, "\$x\$", 20)])
plot!([0,0],[-2,1.5],
label=false,
arrow=3,
linewidth=1,
linecolor=:black,
annotations = [(0,1.7, "\$z\$", 20)])
scatter!((0,0),label=false, markersize=4,color=:green)
scatter!((5*sin(2*pi*θ/180)/2,0),label=false, markersize=4,color=:blue)
#savefig("projectile_motion.png")
end
# ╔═╡ 00000000-0000-0000-0000-000000000001
PLUTO_PROJECT_TOML_CONTENTS = """
[deps]
ForwardDiff = "f6369f11-7733-5829-9624-2563aa707210"
ImageView = "86fae568-95e7-573e-a6b2-d8a6b900c9ef"
Images = "916415d5-f1e6-5110-898d-aaa5f9f070e0"
LaTeXStrings = "b964fa9f-0449-5b57-a5c2-d3ea65f4040f"
LinearAlgebra = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
Plots = "91a5bcdd-55d7-5caf-9e0b-520d859cae80"
PlutoUI = "7f904dfe-b85e-4ff6-b463-dae2292396a8"
Symbolics = "0c5d862f-8b57-4792-8d23-62f2024744c7"
TestImages = "5e47fb64-e119-507b-a336-dd2b206d9990"
[compat]
ForwardDiff = "~0.10.35"
ImageView = "~0.11.5"
Images = "~0.25.3"
LaTeXStrings = "~1.3.0"
Plots = "~1.38.15"
PlutoUI = "~0.7.51"
Symbolics = "~5.5.0"
TestImages = "~1.7.1"
"""
# ╔═╡ 00000000-0000-0000-0000-000000000002
PLUTO_MANIFEST_TOML_CONTENTS = """
# This file is machine-generated - editing it directly is not advised
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