pull examples and complete homework 1

1 files changed, 25 insertions, 0 deletions

diff --git a/examples/FallingBall.jl b/examples/FallingBall.jl
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+++ b/examples/FallingBall.jl
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+#!/Applications/Julia-1.8.app/Contents/Resources/julia/bin/julia
+
+dt = 0.01 # time step in seconds
+g = 9.8 # acceleration of gravity in m/s^2
+
+function dynamics(y::Float64, v::Float64, t::Float64) 
+   for i in 1:100
+      y = y + v * dt
+      v = v - g * dt
+      t = t + dt
+   end
+
+   return y, v, t
+end
+
+y0 = 10.0 # initial position in meters
+v0 = 0.0 # initial velocity in m/s
+
+y, v, t = dynamics(y0, v0, 0.0) # evolave for 100 time steps
+
+println("\n\t Results")
+println("final time  = ", t)
+println("y = ", y, " and v = ", v)
+println("exact v = ", v0 - g * t)
+println("exact y = ", y0 + v0 * t - 0.5 * g * t^2.0)
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