{ "cells": [ { "cell_type": "markdown", "metadata": { "id": "GGkIoAc-AeCI" }, "source": [ "# Projectile motion\n", "\n", "> Marcos Duarte \n", "> [Laboratory of Biomechanics and Motor Control](https://bmclab.pesquisa.ufabc.edu.br) \n", "> Federal University of ABC, Brazil" ] }, { "cell_type": "markdown", "metadata": { "id": "Z2XsNQxDAeCM" }, "source": [ "
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\"triple
Figure. Animations of a triple jump performed by athlete Jadel Gregório during training. The jump distance was 16.20 meters. The two animations are synchronized and represent the same athlete during the same jump, with the one on the left representing the athlete's movement subtracting the horizontal displacement of his center of gravity. From the website Análise do salto em distância.
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Contents

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" ] }, { "cell_type": "markdown", "metadata": { "id": "LO7B4DM9AeCN" }, "source": [ "Projectile or ballistic motion is the movement of a body in the air near Earth's surface where the main force acting on the body is the gravitational force. If we neglect the air resistance and approximate the gravity force (which acts only at the vertical direction) on the body as constant, the body will have constant velocity at the horizontal direction and constant acceleration (the gravitational acceleration) at the vertical direction." ] }, { "cell_type": "markdown", "metadata": { "id": "Yd07AOGPAeCN" }, "source": [ "## Python setup" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "id": "TQ5w9yxRAeCO" }, "outputs": [], "source": [ "import sys\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "if \"google.colab\" in sys.modules:\n", " %pip install -q ipympl\n", " %matplotlib widget\n", " from google.colab import output\n", " output.enable_custom_widget_manager()" ] }, { "cell_type": "markdown", "metadata": { "id": "CTbcHONSAeCP" }, "source": [ "## Equations of motion\n", "\n", "Let's deduce the equations for a projectile motion and investigate their characteristics. For simplicity, let's consider for now a planar movement, neglect the air resistance, and the gravitational acceleration, $g=9.8 m/s^2$. Consider a body (which will treat it as a particle) launched to the air with initial angle $\\theta$ with respect to the horizontal (the $\\mathbf{x}$ direction) and initial velocity $\\mathbf{v_0}$, a vector quantity with components $v_{0x}=v_0\\cos(\\theta)$ and $v_{0y}=v_0\\sin(\\theta)$. \n", "The equations of motion for position ($x, y$), velocity $v_x, v_y$, and acceleration $a_x, a_y$ are: \n", "
\n", "\n", "\\begin{align}\n", "& x(t) = x_0 + v_0\\cos(\\theta)\\:t \\\\\n", "& y(t) = y_0 + v_0\\sin(\\theta)\\:t - \\frac{g\\:t^2}{2} \\\\\n", "& v_x(t) = v_0\\cos(\\theta) \\\\\n", "& v_y(t) = v_0\\sin(\\theta) - g\\:t \\\\\n", "& a_x(t) = 0 \\\\\n", "& a_y(t) = -g\n", "\\label{eq_1}\n", "\\end{align}\n", "" ] }, { "cell_type": "markdown", "metadata": { "id": "JFKVtYiWAeCP" }, "source": [ "### Time of flight\n", "\n", "The time of flight can be calculated from the equation for the vertical velocity and using the properties that at the maximum height, the vertical velocity is zero and the time of rising is equal to the time of falling: \n", "
\n", "\n", "\\begin{equation}\n", "t_{flight} = \\frac{2v_0\\sin(\\theta)}{g}\n", "\\label{tflight}\n", "\\end{equation}\n", "" ] }, { "cell_type": "markdown", "metadata": { "id": "BYmuA4IXAeCQ" }, "source": [ "### Maximum height\n", "\n", "Using the value for time of flight we just calculated and once again the fact the at the maximum height the body has zero vertical velocity, the maximum height, $h$, can be obtained from the equation for the vertical position: \n", "
\n", "\n", "\\begin{equation}\n", "h = \\frac{v_0^2\\sin^2(\\theta)}{2g}\n", "\\label{maxheight}\n", "\\end{equation}\n", "" ] }, { "cell_type": "markdown", "metadata": { "id": "eW3Zcs3hAeCQ" }, "source": [ "### Range, the maximum horizontal distance\n", "\n", "The range, $R$, is the maximum horizontal distance reached with respect to the point of release: \n", "
\n", "\n", "\\begin{equation}\n", "R = v_0\\cos(\\theta)\\:t_{flight}\n", "\\label{range}\n", "\\end{equation}\n", "\n", "\n", "Substituting the expression for $t_{flight}$: \n", "
\n", "\n", "\\begin{equation}\n", "R = \\frac{v_0^2\\sin(2\\theta)}{g}\n", "\\label{range2}\n", "\\end{equation}\n", "\n" ] }, { "cell_type": "markdown", "metadata": { "id": "CKniIxf0AeCQ" }, "source": [ "### Parabolic trajectory\n", "\n", "The equation for the horizontal position versus time is the equation of a straight line and for the vertical position is the equation of a parabola. We can prove that the spatial trajectory (the vertical position versus the horizontal position) is also a parabola if we use the two equations for position and eliminate the variable time:\n", "\n", "\n", "\\begin{equation}\n", "y = y_0 + \\tan(\\theta)(x-x_0) - \\frac{g}{2v_0^2cos^2(\\theta)}(x-x_0)^2\n", "\\label{eq_5}\n", "\\end{equation}\n", "\n", "\n", "Since $y_0,\\: x_0,\\: \\theta,\\: v_0,\\: g$ are constants, this is an equation for a parabola." ] }, { "cell_type": "markdown", "metadata": { "id": "KlaUF7DHAeCR" }, "source": [ "### Release angle for maximum horizontal distance\n", "\n", "From the expression for the range, we note that the maximum value is reached when $\\sin(2\\theta)=1$ which gives $\\theta=45^o$." ] }, { "cell_type": "markdown", "metadata": { "id": "QhhyVBWSAeCR" }, "source": [ "### Release angle for maximum height\n", "\n", "From the expression for the maximum height, we note that the maximum value is reached when $\\sin^2(\\theta)=1$ which gives $\\theta=90^o$." ] }, { "cell_type": "markdown", "metadata": { "id": "FVultVqeAeCR" }, "source": [ "### Playing with projectile motion\n", "Here is an interactive animation of a projectile motion where you can change the initial angle and speed of the body (or to start, simply press the button *Fire* in the rectangular menu):" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "ExecuteTime": { "end_time": "2017-12-30T07:10:49.618206Z", "start_time": "2017-12-30T07:10:49.603885Z" }, "colab": { "base_uri": "https://localhost:8080/", "height": 521 }, "id": "njqEgl15AeCR", "outputId": "b6cc6247-8438-4468-c0dc-b45b7668b960", "scrolled": true }, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "" ], "text/html": [ "\n", " \n", " " ] }, "metadata": {}, "execution_count": 2 } ], "source": [ "from IPython.display import IFrame\n", "IFrame('https://phet.colorado.edu/sims/html/projectile-motion/latest/projectile-motion_en.html',\n", " width='100%', height=500)" ] }, { "cell_type": "markdown", "metadata": { "id": "j6lBJWibAeCS" }, "source": [ "## Kinematics of the long jump\n", "\n", "We can study the kinematics of jumps by humans and other animals as projectile motions with the equations of motion we derived if we consider the body as a particle. There is a particular point in the body (a virtual point) that will strictly follow the equations of motion we derived. This point is called center of mass or center of gravity and represents an average position of all the masses in the body. We will study this later; for now just consider that when applying the equations for projectile motion to a body with many particles, we are in fact describing the motion of its center of mass." ] }, { "cell_type": "markdown", "metadata": { "id": "cpco6UerAeCS" }, "source": [ "### The different phases of the track and field event long jump\n", "\n", "The track and field event long jump has some particularities we must consider to analyze it as a projectile motion; the figure below shows the kinematic characteristics relevant for this analysis. \n", "
\n", "
\"longjump\"/
Figure. Diagram of a long jump and its kinematic characteristics. The red circle represents the center of mass of the jumper. Adapted from Linthorne (2007).
\n", "\n", "The distance officially considered as the jump distance, $d_{jump}$, can be described as the sum of three distances as indicated in the previous figure: \n", "
\n", "\n", "\\begin{equation}\n", "d_{jump} = d_{take-off} + d_{flight} + d_{landing}\n", "\\label{eq_6}\n", "\\end{equation}\n", "" ] }, { "cell_type": "markdown", "metadata": { "id": "fxzrVzg5AeCS" }, "source": [ "### The distance of flight\n", "\n", "The jump in the air is the part of the jump that we can describe as a projectile motion and its distance, $d_{flight}$, is typically 90% of the jump distance for professional jumpers. \n", "\n", "Let's derive an expression for $d_{flight}$, which we called range before, as a function of the velocity and angle at the take-off. Looking at the long jump diagram, we see that the jumper takes off from a higher height than when he or she lands. The equation for the vertical displacement of the jumper's center of mass during the flight phase will be: \n", "
\n", "\n", "\\begin{equation}\n", "h_{landing} = h_{take-off} + v_0\\sin(\\theta)\\:t - \\frac{g\\:t^2_{flight}}{2}\n", "\\label{eq_7}\n", "\\end{equation}\n", "\n", "\n", "For simplicity let's adopt $h_0=h_{take-off}-h_{landing}$: \n", "
\n", "\n", "\\begin{equation}\n", "0 = h_0 + v_0\\sin(\\theta)\\:t - \\frac{g\\:t^2_{flight}}{2}\n", "\\label{eq_8}\n", "\\end{equation}\n", "\n", "\n", "Solving this second-order equation for $t_{flight}$: \n", "
\n", "\n", "\\begin{equation}\n", "t_{flight} = \\frac{v_0 \\sin(\\theta) \\pm \\sqrt{v^2_0 \\sin^2(\\theta) + 2 h_0 g}}{g}\n", "\\label{eq_9}\n", "\\end{equation}\n", "\n", "\n", "This expression is different than the one we derived before because the initial and final heights are different in the long jump. However, the above expression reduces to the former expression when this difference is zero, $h_0=0$.\n", "\n", "We are only interested in the positive solution of the equation (the negative solution results in negative time) and substituting this result in the equation for the horizontal distance, we have the an expression for $d_{flight}$: \n", "
\n", "\n", "\\begin{equation}\n", "d_{flight} = \\frac{v_0\\cos(\\theta)\\left[v_0 \\sin(\\theta) + \\sqrt{v^2_0\\sin^2(\\theta) + 2 h_0 g}\\:\\right]}{g} \\label{eq_10}\n", "\\end{equation}\n", "\n", "\n", "Once again, when $h_0=0$, we have the same expression we derived before." ] }, { "cell_type": "markdown", "metadata": { "id": "ggEMmztXAeCS" }, "source": [ "### The optimum angle of take off\n", "\n", "We now can find the angle that maximizes the range given that the projectile is released (the body jumps) from an initial height. In order to find such angle, we differentiate the previous equation with respect to the variable angle, set this derivative equal to zero, and solve it (read about how to find maxima points in a function [here](http://en.wikipedia.org/wiki/Maxima_and_minima)). It can be shown that the solution is (for a proof, see [here](http://math.stackexchange.com/questions/127300/maximum-range-of-a-projectile-launched-from-an-elevation) or [here](http://www.themcclungs.net/physics/download/H/2_D_Motion/Projectile%20Cliff.pdf)): \n", "
\n", "\n", "\\begin{equation}\n", "\\theta = \\arctan\\left(\\frac{v_0}{\\sqrt{v_0^2 + 2gh_0}}\\right)\n", "\\label{eq_11}\n", "\\end{equation}\n", "\n", "\n", "For $h_0=0$, the angle will be $\\arctan(1)$, which is equal to $45^o$, as obtained before. However, higher the height, smaller than one the fraction and smaller will be the optimum angle." ] }, { "cell_type": "markdown", "metadata": { "id": "oapAqNf3AeCT" }, "source": [ "#### Computation of the optimum angle\n", "\n", "Let's write a function to calculate the optimum angle given the initial height and velocity:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "ExecuteTime": { "end_time": "2017-12-30T07:12:11.394661Z", "start_time": "2017-12-30T07:12:11.381084Z" }, "id": "18m9BvbfAeCT" }, "outputs": [], "source": [ "def angle(height, velocity):\n", " '''Opitmum angle for projectile motion with initial `height` and `velocity`.\n", " '''\n", " import math\n", "\n", " g = 9.8 # gravitational acceleration, m/s2\n", "\n", " ang = 0\n", " if velocity != 0:\n", " ang = math.atan(velocity/math.sqrt(velocity**2+2*g*height))*180/math.pi\n", "\n", " return ang" ] }, { "cell_type": "markdown", "metadata": { "id": "SIvSzJkIAeCT" }, "source": [ "Let's determine the optimum angle for an initial height of 0.6 m and an initial velocity of 9 m/s (actual values for athletes of long jump):" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "ExecuteTime": { "end_time": "2017-12-30T07:12:40.827161Z", "start_time": "2017-12-30T07:12:40.819847Z" }, "colab": { "base_uri": "https://localhost:8080/" }, "id": "4FR1Bux7AeCT", "outputId": "c36049a7-8f5d-41a5-96a4-2a943983f291" }, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "The optimum angle for a jump with h=0.6 m and v=9.0 m/s is 43.1 degrees\n" ] } ], "source": [ "height=.6\n", "velocity=9\n", "ang = angle(height, velocity)\n", "print('The optimum angle for a jump with h=%.1f m and v=%.1f m/s is %.1f degrees'\n", " %(height, velocity, ang))" ] }, { "cell_type": "markdown", "metadata": { "id": "8RNKuI2IAeCT" }, "source": [ "We can even plot the optimum angle for different values of initial height and velocity (e.g., heights from 0 to 1 m and velocities from 5 to 10 m/s):" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "ExecuteTime": { "end_time": "2017-12-30T07:13:02.930914Z", "start_time": "2017-12-30T07:13:02.378051Z" }, "id": "1NhCWK2-AeCT" }, "outputs": [], "source": [ "# import and configure additional libraries\n", "from matplotlib import cm\n", "import seaborn as sns\n", "sns.set(rc={'axes.facecolor': 'white', 'figure.facecolor': 'white'})\n", "sns.set_context(\"notebook\", font_scale=1.2, rc={\"lines.linewidth\": 2, \"lines.markersize\": 10})" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "ExecuteTime": { "end_time": "2017-12-30T07:13:08.003398Z", "start_time": "2017-12-30T07:13:07.914573Z" }, "colab": { "base_uri": "https://localhost:8080/", "height": 589, "referenced_widgets": [ "91d5ea773076448b9cb97e6ba22c0df8", "570118beb82749a7918f1e36eddcd069", "26b11ab56d1249289f369398e840fb2d", "f83cbd6a15744029a3767e44d1b966bb" ] }, "id": "9z_KJpiHAeCU", "outputId": "9d824125-8571-4d2c-9db4-ccdbc3e0d4d3" }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …" ], "image/png": 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\n", " Figure\n", "
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Figure. A segment in a plane and its coordinates.
\n", " \n", "Given the the coordinates at two instants: \n", "
\n", "\n", "\\begin{equation}\n", "\\theta = arctan\\left(\\frac{y_2-y_1}{x_2-x_1}\\right)\n", "\\end{equation}\n", "\n", " \n", "A simple way to determine the angle with experimental data, rather than calculating the finite differences in position in the two directions, is to calculate the angle from the ratio of the vertical and horizontal velocities, $v(t)$, since: \n", "
\n", "\n", "\\begin{equation}\n", "\\theta(t) = arctan\\left(\\frac{v_y(t)}{v_x(t)}\\right) = arctan\\left(\\dfrac{\\dfrac{y_{t}-y_{t-1}}{\\Delta t}}{\\dfrac{x_{t}-x_{t-1}}{\\Delta t}}\\right) = arctan\\left(\\frac{y_{t}-y_{t-1}}{x_{t}-x_{t-1}}\\right)\n", "\\end{equation}\n", " " ] }, { "cell_type": "markdown", "metadata": { "id": "CBEDC7E7ERv7" }, "source": [ "## More examples\n", "\n", " - [Horizontally Launched Projectiles - Problem-Solving](https://www.physicsclassroom.com/class/vectors/Lesson-2/Horizontally-Launched-Projectiles-Problem-Solving) \n", " - [Non-Horizontally Launched Projectiles - Problem-Solving](https://www.physicsclassroom.com/class/vectors/Lesson-2/Non-Horizontally-Launched-Projectiles-Problem-Solv)" ] }, { "cell_type": "markdown", "metadata": { "id": "SEfHoqsoBCki" }, "source": [ "## Further reading\n", "\n", " - Read the text: Linthorne NP (2007) Biomechanics of the long jump. In Routledge Handbook of Biomechanics and Human Movement Science, Y. Hong and R. Bartlett (Editors), Routledge, London. pp. 340–353." ] }, { "cell_type": "markdown", "metadata": { "id": "Arsa14q4GXTD" }, "source": [ "## Video lectures on the Internet\n", "\n", " - Khan Academy: [Two-dimensional motion](https://www.khanacademy.org/science/ap-physics-1/ap-two-dimensional-motion) " ] }, { "cell_type": "markdown", "metadata": { "id": "sDcPw1_6AeCU" }, "source": [ "## Problems\n", "\n", "1. An athlete during a long jump had at the moment of takeoff a velocity of (8.10, 3.58, 0) [in m/s] where $\\mathbf{x, y, z}$ are the horizontal (anterior-posterior), vertical, and medio-lateral directions, respectively. \n", " a. Calculate the magnitude of the velocity at the takeoff. \n", " b. Calculate the angle of the jump at the takeoff. \n", " c. Calculate the jump distance. \n", " d. The actual jump distance was 6.75 m. Comment about the difference between this value and the distance found in (c). \n", "\n", "2. A person throws a ball upward (vertically) into the air with an initial speed of 10 m/s and initial height of release of 2 m. Determine the following quantities for the ball: \n", " a. Maximum height. \n", " b. Total time in the air. \n", " c. Velocity just before impact with the ground. \n", " d. Plots for position, velocity, and acceleration. \n", "\n", "3. An athlete of diving jumps from a 10-m height platform and reaches the water at a horizontal distance of 5 m after 2.5 s. Calculate the following quantities for the diver's center of mass: \n", " a. Initial speed and angle at the takeoff. \n", " b. Maximum height reached.\n", " \n", "4. A ball is thrown with a speed $v_0=25$ m/s and angle $\\theta=tan^{-1}(4/3)$ strikes the inclined surface as shown in the figure below. Determine the position s at which the ball will strike the inclined surface. Solution: s=40.04m.\n", "
\n", "
\n", "
\n", "4. Investigate and propose at least three different methods to measure these kinematic quantities during training and sporting events. Discuss the limitations and advantages of each method considering their application in different sports.\n", "\n", "5. The website [Physics Classroom](https://www.physicsclassroom.com/curriculum/vectors/Projectile-Motion) has a link to a pdf document with 26 problems about projectile motion and links to the lessons about this topic. Download the pdf and solve the problems." ] }, { "cell_type": "markdown", "metadata": { "id": "Hyq877b9AeCU" }, "source": [ "## References\n", "\n", "- Alexander RM (1990) [Optimum take-off techniques for high and long jumps](http://rstb.royalsocietypublishing.org/cgi/pmidlookup?view=long&pmid=1976267). Philosophical transactions of the Royal Society of London. Series B, Biological sciences. 329(1252), 3-10.\n", "- [Análise Biomecânica do Salto em Distância](http://demotu.org/x/salto/)\n", "- Linthorne NP (2007) Biomechanics of the long jump. In Routledge Handbook of Biomechanics and Human Movement Science, Y. Hong and R. Bartlett (Editors), Routledge, London. pp. 340–353.\n", "- [Research Projects](http://www.iaaf.org/development/research) from the International Association of Athletics Federations.\n", "- Seyfarth A, Blickhan R, Van Leeuwen JL (2000) [Optimum take-off techniques and muscle design for long jump](http://jeb.biologists.org/cgi/pmidlookup?view=long&pmid=10648215). Journal of Experimental Biology, 203(Pt 4), 741-50.\n" ] } ], "metadata": { "anaconda-cloud": {}, "colab": { "provenance": [] }, "hide_input": false, "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.5" }, "nbTranslate": { "displayLangs": [ "*" ], "hotkey": "alt-t", "langInMainMenu": true, "sourceLang": "en", "targetLang": "fr", "useGoogleTranslate": true }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": true, "title_cell": "Contents", "title_sidebar": "Contents", "toc_cell": true, "toc_position": {}, "toc_section_display": true, "toc_window_display": false }, "varInspector": { "cols": { "lenName": 16, "lenType": 16, "lenVar": 40 }, "kernels_config": { 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