One dimensional motion with linear plus quadratic drag

版本 1.0.2 (1.4 MB) 作者: Duncan Carlsmith
Live Script providing symbolic and numerical calculations of 1-dimensional motion with linear plus quadratic drag
0.0
(0)
1.0 次下载
更新时间 2024/5/20

查看许可证

A simple model of the effect of fluid on an object in motion is a drag force linear in velocity for low velocity and proportional to the square of speed at high velocity. This Live Script derives and explores analytic solutions to Newton's equation for ballistic motion in one dimension of a mass subject to a constant gravitational force and a combined linear plus quadratic drag force:
.
The analytic solutions depend on the direction of initial velocity relative to the direction of gravity and are used piecewise to describe a general initially upward-going ballistic motion followed by a downward motion. A maximal time to reach the peak height, independent of initial speed, is derived as well as expressions for the terminal velocity. The symbolic results are compared to numerical calculations and exported to functions for general use.
This Live Script may interest students and instructors in physics and other disciplines. The results might be used to compare experimental free fall data to the drag model using a nonlinear fitting technique. The calculations illustrate a variety of symbolic and numerical integration techniques.

引用格式

Duncan Carlsmith (2024). One dimensional motion with linear plus quadratic drag (https://www.mathworks.com/matlabcentral/fileexchange/166176-one-dimensional-motion-with-linear-plus-quadratic-drag), MATLAB Central File Exchange. 检索时间: .

MATLAB 版本兼容性
创建方式 R2024a
兼容任何版本
平台兼容性
Windows macOS Linux

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

OneDimensionalMotionWithLinearPlusQuadraticDrag folder

OneDimensionalMotionWithLinearPlusQuadraticDrag folder

版本 已发布 发行说明
1.0.2

Figure uploaded incorrectly
1.0.1

Improve figure.
1.0.0