Functions/GenXdev.Helpers.Physics/Get-FreeFallDistance.cs
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using System.Management.Automation; namespace GenXdev.Helpers.Physics { [System.ComponentModel.Description(@" .SYNOPSIS Calculates the distance fallen during free fall for a given time duration. .DESCRIPTION Calculates the distance fallen during free fall using a numerical method that accounts for air resistance and terminal velocity. .LICENSE Copyright (C) 2026 René Vaessen / GenXdev This program is free software: you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version. This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. You should have received a copy of the GNU General Public License along with this program. If not, see <https://www.gnu.org/licenses/>. .EXAMPLE ```powershell Get-FreeFallDistance -DurationInSeconds 10 -TerminalVelocityInMetersPerSecond 53 -As ""feet"" ``` Calculates the distance fallen in 10 seconds in feet. .EXAMPLE ```powershell Get-FreeFallDistance 5 ``` Calculates the distance in 5 seconds in meters. ")] [Cmdlet(VerbsCommon.Get, "FreeFallDistance")] [OutputType(typeof(double))] public class GetFreeFallDistanceCommand : PSGenXdevCmdlet { /// <summary> /// The time duration of the fall in seconds /// </summary> [Parameter( Mandatory = true, Position = 0, HelpMessage = "The time duration of the fall in seconds")] public double DurationInSeconds { get; set; } /// <summary> /// The terminal velocity in meters per second (default: 53) /// </summary> [Parameter( Mandatory = false, Position = 1, HelpMessage = "The terminal velocity in meters per second (default: 53)")] public double TerminalVelocityInMetersPerSecond { get; set; } = 53; /// <summary> /// The acceleration due to gravity in m/s² (default: 9.81) /// </summary> [Parameter( Mandatory = false, Position = 2, HelpMessage = "The acceleration due to gravity in m/s² (default: 9.81)")] public double GravityInMetersPerSecondSquared { get; set; } = 9.81; /// <summary> /// The unit for the output distance /// </summary> [Parameter( Mandatory = false, Position = 3, HelpMessage = "The unit for the output distance")] [ValidateSet("meters", "kilometers", "centimeters", "millimeters", "feet", "inches", "miles", "yards")] public string As { get; set; } = "meters"; private double time; private double distance; private double velocity; /// <summary> /// Begin processing - initialization logic /// </summary> protected override void BeginProcessing() { // set up numerical integration parameters // initialize variables time = 0; distance = 0; velocity = 0; WriteVerbose( "Starting free fall distance calculation for " + DurationInSeconds + " seconds " + "with terminal velocity " + TerminalVelocityInMetersPerSecond + " m/s"); } /// <summary> /// Process record - main cmdlet logic /// </summary> protected override void ProcessRecord() { double dt = 0.01; while (time < DurationInSeconds) { // cap velocity at terminal if (velocity >= TerminalVelocityInMetersPerSecond) { velocity = TerminalVelocityInMetersPerSecond; } else { velocity += GravityInMetersPerSecondSquared * dt; } // accumulate distance distance += velocity * dt; time += dt; if (time > 1000) { throw new Exception("Calculation timeout exceeded"); } } WriteVerbose("Calculated distance: " + distance + " meters"); } /// <summary> /// End processing - cleanup logic /// </summary> protected override void EndProcessing() { // convert to desired unit var scriptBlock = ScriptBlock.Create(@" param($Value, $FromUnit, $ToUnit) GenXdev.Helpers\Convert-PhysicsUnit -Value $Value -FromUnit $FromUnit -ToUnit $ToUnit "); var result = scriptBlock.Invoke(distance, "meters", As); WriteObject(result[0].BaseObject); } } } |