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