Functions/GenXdev.Helpers.Math.Physics/Get-FreeFallTime.ps1
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Function Get-FreeFallTime { param ( [double]$HeightInMeters, [double]$TerminalVelocityInMs = 53 # Default human terminal velocity in m/s ) # Define the acceleration due to gravity in m/s^2 $gravity = 9.81 # Calculate time using numerical method with small time steps $dt = 0.01 # Time step in seconds $height = $HeightInMeters $velocity = 0 $time = 0 while ($height -gt 0) { # Apply simplified air resistance model if ($velocity -ge $TerminalVelocityInMs) { $velocity = $TerminalVelocityInMs } else { $velocity += $gravity * $dt } $height -= $velocity * $dt $time += $dt # Add safety check if ($time -gt 1000) { Write-Error "Calculation timeout" return 0 } } return [Math]::Round($time, 2) } |