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physics.html
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<title>Michael G | Physics</title>
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<h3 class="headSentence center">Physics</h3>
<p class="introSentence center">Michael Gathara</p>
<p class="introSentence center">Built for simplicity</p>
<div class="projectShowcase">
<div class="topics">
<button class="topTopics" id="topic" onClick="document.getElementById('notes').scrollIntoView();" value="topic1">Ap Physics Files</button>
<!-- <button class="topTopics" id="topic" onClick="document.getElementById('shm').scrollIntoView();" value="topic1">SHM | FRQ </button> -->
<button class="topTopics" id="topic" onClick="document.getElementById('unitOne').scrollIntoView();" value="topic1">Unit One | Kinematics </button>
<button class="topTopics" id="topic" onClick="document.getElementById('unitTwo').scrollIntoView();" value="topic1">Unit Two | Dynamics</button>
<button class="topTopics" id="topic" onClick="document.getElementById('unitThree').scrollIntoView();" value="topic1">Unit Three | Circular Motion and Gravitation</button>
<!--
<button class="topTopics" id="topic" onClick="document.getElementById('unitFour').scrollIntoView();" value="topic1">Unit Four | Energy</button>
<button class="topTopics" id="topic" onClick="document.getElementById('unitFive').scrollIntoView();" value="topic1">Unit Five | Momentum</button>
<button class="topTopics" id="topic" onClick="document.getElementById('unitSix').scrollIntoView();" value="topic1">Unit Six | Harmonic Motion</button>
<button class="topTopics" id="topic" onClick="document.getElementById('unitSeven').scrollIntoView();" value="topic1">Unit Seven | Torque</button>
<button class="topTopics" id="topic" onClick="document.getElementById('bonus').scrollIntoView();" value="topic1">Unit Eight | Bonus</button> -->
<button class="topTopics" id="topic" onClick="document.getElementById('more').scrollIntoView();" value="topic1">Resources </button>
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<br>
<div class="projectShowcase" id="why">
<div class="project">
<h3 style="color: #fcc02e;">About</h3>
<hr>
<p>This site is not meant to be a learning center rather a review site. It assumes you have a surface level knowledge of every subject covered. The goal is not to replace Ap Classroom or teacher based instruction, but rather to supplement it.</p>
<p>Built of off my AP physics class, Khan Academy, various websites, and the AP Physics 1 guided learning plan.</p>
<p>If you can not see the equations clearly please change the math renderer from CHTML to SVG by
<ul>
<li>Right click equation</li>
<ul>
<li>Hold equation on mobile</li>
</ul>
<li>Hover over math settings</li>
<li>Math Renderer</li>
<li>SVG</li>
</ul>
</p>
<p>Website built from scratch using:</p>
<ul>
<li><a href="https://thenextweb.com/podium/2020/03/05/learn-html-css-in-15-minutes/" target="_blank" class="r link">Html, Css</li>
<li><a href="https://developer.mozilla.org/en-US/docs/Web/JavaScript" target="_blank" class="r link">Vanilla JavaScript</a></li>
<li><a href="https://math.meta.stackexchange.com/questions/5020/mathjax-basic-tutorial-and-quick-reference" target="_blank" class="r link" >MathJax</a></li>
<li>It's also still a work in progress so formatting and design may change as I come up with a better way of presenting information</li>
<li>No tracking, no ads</li>
</ul>
<p>Legal Stuff</p>
<ul>
<li>Desmos may save cookies to enable the use of graphs and by using this site you agree to them</li>
<ul>
<li>Desmos Privacy Policy: <a href="https://www.desmos.com/privacy" class="r link" target="_blank">Here</a></li>
</ul>
<li>The underlying domain uses Google Analytics. By using this site you agree to those as well.</li>
<ul>
<li>Google Analytics Privacy Policy: <a href="https://policies.google.com/technologies/partner-sites" class="r link" target="_blank">Here</a></li>
</ul>
<li>The underlying privacy policy for this site. Which basically says I don't collect anything</li>
<ul>
<li>Found: <a href="/privacy" target="_blank" class="r link">Here</a></li>
</ul>
</ul>
<p>Note style inspired by Nav</p>
<br>
<p style="font-family: 'Satisfy', cursive;">- Michael Gathara</p>
<p>Version: 0.3.9</p>
</div>
</div>
<h1 class="introSentence center" style="color: #fcc02e;">Unit One | Kinematics</h1>
<div class="projectShowcase">
<div class="topics">
<button class="topTopics" id="topic" onClick="document.getElementById('vector').scrollIntoView();" value="topic1">Vector & Scalar</button>
<button class="topTopics" id="topic" onClick="document.getElementById('displacement').scrollIntoView();" value="topic1">Displacement & Distance</button>
<button class="topTopics" id="topic" onClick="document.getElementById('velocity').scrollIntoView();" value="topic1">Velocity & Speed</button>
<button class="topTopics" id="topic" onClick="document.getElementById('acceleration').scrollIntoView();" value="topic1">Acceleration</button>
<button class="topTopics" id="topic" onClick="document.getElementById('linear').scrollIntoView();" value="topic1">Linearization</button>
<button class="topTopics" id="topic" onClick="document.getElementById('equations').scrollIntoView();" value="topic1">Equations</button>
<button class="topTopics" id="topic" onClick="document.getElementById('projectiles').scrollIntoView();" value="topic1">Projectile Motion</button>
<button class="topTopics" id="topic" onClick="document.getElementById('graphs').scrollIntoView();" value="topic1">Kinematic Graphs</button>
</div>
</div>
<br>
<div class="projectShowcase" id="unitOne">
<!-- https://www.youtube.com/watch?v=svwWKi9sSAA -->
<!-- style="background-image: linear-gradient(to right, #a82d73, #9f3786, #924198, #804ca8, #6757b5, #4f63bc, #326dbf, #0076bf, #0080b6, #0087a7, #0f8b97, #438e89); color: white;" -->
<div class=" project" id="vaccum">
<h3 style="color: #fcc02e;">Kinematics: </h3>
<p>Deal with pure motion. Usually from the beginning to the end of the described motion. Usually two types, motion with constant Velocity or motion with constant Acceleration</p>
<h3 class="y" id="vector">
Vector and Scalar:
</h3>
<p class="y">Vector</p>
<ul>
<li>Has direction</li>
<li>Has magnitude</li>
<li class="y">
Examples:
</li>
<ul>
<li>5 meters/second, North</li>
<li>6 miles, East</li>
</ul>
</ul>
<p class="y">Scalar</p>
<ul>
<li>Only has magnitude</li>
<li class="y">Examples:</li>
<ul>
<li>5 meters</li>
<li>5 degrees celsius</li>
</ul>
</ul>
<br>
<hr>
<h3 class="y" id="displacement">Displacement and Distance: </h3>
<p class="y">Displacement:</p>
<ul>
<li>How far away something is from the initial point</li>
<li class="y">Example:</li>
<ul>
<li>An object travels 5 meters north, turns and travels 5 meters east, turns and travels 5 meters north, turns and travels 5 meters west. What is the displacement of the object?</li>
<li>The object traveled in a square and landed where it started. Thus displacement is zero</li>
</ul>
</ul>
<p class="y">Distance</p>
<ul>
<li>How much area an object has covered.</li>
<li class="y">Example:</li>
<ul>
<li>An object travels 5 meters north, turns and travels 5 meters east, turns and travels 5 meters north, turns and travels 5 meters west. What is the distance the object has covered?</li>
<li>The object covered 5+5+5+5 = 20 meters.</li>
</ul>
</ul>
<br>
<hr>
<h3 class="y" id="velocity">Velocity & Speed</h3>
<p class="y">Velocity</p>
<ul>
<li>
The rate at which a position changes. A vector quantity
</li>
<li class="y">
Example:
</li>
<ul>
<li>A person rapidly moves one step forward and one step back. The resulting velocity is zero since their overall position did not change</li>
</ul>
$$\Delta Velocity = \frac{\Delta displacement}{\Delta time}$$
</ul>
<p class="y">Scalar</p>
<ul>
<li>
The rate of which an object covers a distance within a given Time.
A scalar quantity
</li>
$$\Delta Speed = \frac{\Delta Distance}{\Delta Time}$$
</ul>
<br>
<hr>
<h3 class="y" id="acceleration">Acceleration</h3>
<ul>
<li>How quickly something speeds up or slows down</li>
$$A = \frac{V-V_o}{T} = \frac{\Delta V}{\Delta T}$$
</ul>
<br>
<hr>
<h3 class="y" id="linear">Linearization</h3>
<ul>
<li>The process of linearizing a graph</li>
<li>This site goes over it pretty well. Will add native graphs later</li>
<li><a href="https://sites.google.com/site/apphysics1online/appendices/2-data-analysis/graph-linearization" target="_blank" class="r">Linearization Examples</a></li>
</ul>
<br>
<hr>
<h3 class="y" id="equations">The Big Four Equations</h3>
<ol>
<li>$$V_f^2 = V_i^2 + 2*A*D$$</li>
<li>$$D = V_i * T + \frac{1}{2}A * T^2$$</li>
<li>$$V_f = V_i + A * T$$</li>
<li>$$D = \frac{V_i + V_f}{2} * T$$</li>
</ol>
<p>Where</p>
<ul>
<li>D for Displacement</li>
<li>A for acceleration</li>
<li>T for Time</li>
<li>V for Velocity</li>
<li>Vf for Final Velocity where Vi is for initial velocity</li>
</ul>
<br>
<hr>
<h3 class="y" id="projectiles">Projectile Motion</h3>
<ul>
<li>Projectile Motion deals with the motion of objects thrown into the air.
</li>
<li>Deals with acceleration and gravity mostly</li>
<ul>
<li>Acceleration in the y direction is always -9.81m/s/s unless stated otherwise</li>
</ul>
</ul>
<br>
<hr>
<p style="color:#fcc02e" id="graphs">Graphs</p>
<ul>
<li>Consider the graph</li>
</ul>
<iframe src="https://www.desmos.com/calculator/qvrhwautji?embed" width="100%" height="500px" style="border: 1px solid transparent" frameborder=0></iframe>
<ul>
<ul>
<caption>I had a native graph here, but it works nicely on Desktop and not mobile. You can toggle it in developer tools.</caption>
<caption>Mobile optimization for native graphs is not the move right now. So here is Desmos</caption>
<!-- <canvas id="myFirstChart" width="20%" height="10px"></canvas> -->
</ul>
<br>
<ul>
<li>Let's assume it is a velocity, time graph</li>
<li>Seems like the object is moving at an increasing velocity with a constant positive acceleration</li>
<li>Finding the area underneath the line gives you displacement.</li>
</ul>
</ul>
<iframe src="https://www.desmos.com/calculator/texsbmjykj?embed" width="100%" height="500px" style="border: 1px solid #ccc" frameborder=0></iframe>
<ul>
<li>Find area underneath till a second later. so area of a triangle with a base and height of 1</li>
$$\frac{1}{2}*b*h = \frac{1}{2}*1*1 = 0.5 meters$$
<li>You can also do this using the following equation</li>
$$X = \frac{1}{2}(V+U)T$$
<li>Where V is final velocity and U is initial velocity. A better way to write it would be </li>
$$X = \frac{1}{2}(V_f+V_i)T$$
<li>Plug</li>
$$X = \frac{1}{2}(1+0)1 = 0.5 meters$$
</ul>
<p>Now given a position time graph. You can find the slope to get the velocity</p>
<ul>
<li>Assume the same graph is used and you want to find velocity in 2 seconds:</li>
$$M = \frac{rise}{run} = \frac{Y_2-Y_1}{X_2-X_1}$$
<li>Using the coordinates (0 seconds,0 meters) and (2 seconds,2 meters)</li>
$$M = \frac{2-0}{2-0} = \frac{2}{2} = 1$$
<li>We find that the object had a velocity of 1m/s during the 2 second mark</li>
<li>Which makes sense since the object traveled 2 meters in 2 seconds. </li>
<li>This also works when the object is in a state of deceleration</li>
</ul>
<br>
<p style="color:#fcc02e">Acceleration, Time Graphs</p>
<ul>
<li>Whew</li>
<li>Let's use the graph above as well here. A constantly increasing line for a constantly increasing acceleration</li>
<li>Since it is increasing by a factor of 1 each second the acceleration is 1 meter/per second/for every second (1m/s/s)(1m/s^2)</li>
<li>They allow us to find the area underneath the graph in order to get the velocity in the given timeframe.</li>
</ul>
<br>
<p style="font-family: 'Satisfy', cursive; color:#fcc02e">- Michael Gathara</p>
</div>
</div>
<h1 class="introSentence center" style="color: #fcc02e;">Unit Two | Dynamics</h1>
<br>
<div class="projectShowcase">
<div class="topics">
<button class="topTopics" id="topic" onClick="document.getElementById('equilibrium').scrollIntoView();" value="topic1">Equilibrium</button>
<button class="topTopics" id="topic" onClick="document.getElementById('firstLaw').scrollIntoView();" value="topic1">Newton's First Law</button>
<button class="topTopics" id="topic" onClick="document.getElementById('secondLaw').scrollIntoView();" value="topic1">Newton's Second Law</button>
<button class="topTopics" id="topic" onClick="document.getElementById('thidLaw').scrollIntoView();" value="topic1">Newton's Third Law</button>
<button class="topTopics" id="topic" onClick="document.getElementById('friction').scrollIntoView();" value="topic1">Friction</button>
<button class="topTopics" id="topic" onClick="document.getElementById('ramps').scrollIntoView();" value="topic1">Ramps & Inclined Planes</button>
<button class="topTopics" id="topic" onClick="document.getElementById('fbd').scrollIntoView();" value="topic1">Free Body Diagrams</button>
<button class="topTopics" id="topic" onClick="document.getElementById('netForce').scrollIntoView();" value="topic1">Force and Net Force</button>
</div>
</div>
<br>
<div class="projectShowcase">
<div class=" project" id="unitTwo">
<h3 class="y" id="equilibrium">Equilibrium</h3>
<ul>
<li>Equilibrium is simple. Simply the condition of a system in which something stays constant</li>
<li>This something can be </li>
<ul>
<li>Energy</li>
<li>Motion</li>
</ul>
<li class="y">Examples:</li>
<ul>
<li>An object with 60 newtons of gravity pushing down on it while also a 60 newton normal force pushing up on it.</li>
<ul>
<li>This object is simply in equilibrium and full equilibrium if no other forces are acting on it</li>
</ul>
<li>If all the forces cancel each other out it is known to be in equilibrium</li>
</ul>
</ul>
<hr>
<h3 class="y" id="firstLaw">Newton's First Law</h3>
<ul>
<li>Also known as the <a href="" class="r">Law of inertia</a></li>
<li class="y">Inertia</li>
<ul>
<li>Inertia is the resistance of an object to any change in velocity, a change in speed or direction</li>
</ul>
<li class="y">First Law</li>
<ul>
<li>Simply put. An object in motion tends to stay in motion while an object at rest tends to stay at rest</li>
</ul>
</ul>
<hr>
<h3 class="y" id="secondLaw">Newton's Second Law</h3>
<ul>
<li>In equation form</li>
$$F = M*A$$
<li>Where</li>
<ul>
<li>F = Force in Newtons</li>
<li>M = Mass usually in Kg</li>
<li>A = Acceleration usually in m/s/s</li>
</ul>
</ul>
<hr>
<h3 class="y" id="thirdLaw">Newton's Third Law</h3>
<ul>
<li>For every action there is an equal and opposite reaction</li>
<li class="y">Examples:</li>
<ul>
<li>When you sit in a chair the chair reacts with an equal reaction. Thus you stay in one spot in the y axis.</li>
<li>Objects with a net force of zero in the y axis or x axis respectively </li>
</ul>
</ul>
<hr>
<h3 class="y" id="friction">Friction</h3>
<ul>
<li>Friction is the resistance that two objects encounter on each other</li>
<li>Described with the equation:</li>
$$F_f = μ* N$$
<li>
Where:
</li>
<ul>
<li>F = frictional force</li>
<li>μ static or μ kinetic being the coeffiecent of friction respectively</li>
<li>N = normal force</li>
</ul>
<li>The coeffiecent of friction is usually given</li>
</ul>
<hr>
<h3 class="y" id="ramps">Ramps & Inclined Planes</h3>
<ul>
<li>Normal force is always perpendicular to the surface.</li>
<li>Gravity is always pointing straight down to the core of the planet</li>
<li>Force of gravity is usually made up of two components and can be found using the equation:</li>
$$F_n = M*G*Sin\emptyset$$
</ul>
<li>More In-Depth Explaination: <a href="https://www.physicsclassroom.com/class/vectors/Lesson-3/Inclined-Planes" target="_blank" class="r">Physics Classroom</a> </li>
<hr>
<h3 class="y" id="fbd">Free Body Diagrams</h3>
<ul>
<li>Used to show forces acting on an object</li>
<li>Can be used to determine if an object is in equilibrium</li>
<li class="y">The big four forces</li>
<ul>
<li>
Friction
</li>
<li>Applied</li>
<li>Gravity</li>
<li>Normal Force</li>
</ul>
<li>You can learn more here: <a href="https://www.physicsclassroom.com/class/newtlaws/Lesson-2/Drawing-Free-Body-Diagrams" class="r" target="_blank">Physics Classroom</a></li>
</ul>
<hr>
<h3 class="y" id="netForce">Force and Net Force</h3>
<ul>
<li>Force is the magnitude of any interaction that can change the motion of velocity of an object.</li>
<li>Usually said by the equation:</li>
$$F = M * A$$
<li>Where: </li>
<ul>
<li>F = Force in newtons</li>
<li>M = Mass usually in kg</li>
<li>A = acceleration usually in m/s/s</li>
</ul>
<li>Net Force is the sum of all forces acting on an object. </li>
<li class="y">Examples:</li>
<ul>
<li>An object has an applied force of 5 newtons and a frictional force of 4 newtons.</li>
<ul>
<li>The net force would be 1 newton to the applied side.</li>
</ul>
<li>Objects in equilibrium have a zero net force.</li>
</ul>
<li>Net Force is vector sum of forces.</li>
</ul>
</div>
</div>
<h1 class="introSentence center" style="color: #fcc02e;">Unit Three | Circular Gravitation</h1>
<br>
<div class="projectShowcase">
<div class="topics">
<button class="topTopics" id="topic" onClick="document.getElementById('centripetal').scrollIntoView();" value="topic1">Centripetal Force</button>
<button class="topTopics" id="topic" onClick="document.getElementById('cAcceleration').scrollIntoView();" value="topic1">Centripetal Acceleration</button>
<button class="topTopics" id="topic" onClick="document.getElementById('uniGravity').scrollIntoView();" value="topic1">Universal Gravitation</button>
<button class="topTopics" id="topic" onClick="document.getElementById('uniform').scrollIntoView();" value="topic1">Uniform Circular Motion</button>
<button class="topTopics" id="topic" onClick="document.getElementById('shm').scrollIntoView();" value="topic1">Forces, Energy, SHM & Rotation</button>
<button class="topTopics" id="topic" onClick="document.getElementById('inertial').scrollIntoView();" value="topic1">Inertial Mass vs. Gravitation Mass</button>
</div>
</div>
<br>
<div class="projectShowcase">
<div class=" project" id="unitThree">
<h1 class="y">Inertial Mass vs Gravitational Mass</h1>
<li class="y">Inertia Equations: </li>
<ol>
<li>Hoop about a symmetric axis</li>
$$I = M*R^2$$
<li>Solid cylinder</li>
$$I = \frac{1}{2}M*R^2$$
<li>Solid Sphere</li>
$$I= \frac{2}{5}M*R^2$$
<li>Rod about a center</li>
$$I = \frac{1}{12}M*L^2$$
<li>Solid Cylinder, central diameter</li>
$$I = \frac{1}{4}M*R^2 + \frac{1}{12}M*L^2$$
<li>Hoop about a diameter</li>
$$I = \frac{1}{2}M*R^2$$
<li>Thin spherical shell</li>
$$I = \frac{2}{3}M*R^2$$
<li>Rod about an end</li>
$$I = \frac{1}{3}M*L^2$$
<li>Integral Formula</li>
$$I_p = \sum_{i=1}^N *M_i * R_i^2$$
</ol>
</div>
</div>
<h1 class="link center">Notes</h1>
<div class="projectShowcase">
<div class=" project" id="notes">
<ul>
<li style="color:#fcc02e">AP Files</li>
<ul>
<li>
<p>AP Equations Sheet: <a href="https://drive.google.com/file/d/1ZqcZx5NP974FJ89oPawUU0lfcVE_sY4O/view?usp=sharing" style="color: #fcc02e; text-decoration: underline !important">Sheet</a></p>
</li>
<li>
<p>AP Course at a glance: <a href="https://apcentral.collegeboard.org/pdf/ap-physics-1-course-a-glance.pdf?course=ap-physics-1-algebra-based" target="_blank" style="color: #fcc02e; text-decoration: underline !important">Sheet</a></p>
</li>
<li>
<p>AP Course and exam description: <a href="https://apstudents.collegeboard.org/ap/pdf/ap-physics-1-course-and-exam-description.pdf" target="_blank" style="color: #fcc02e; text-decoration: underline !important">Sheet</a></p>
</li>
</ul>
</ul>
<p style="color: #fcc02e">Open and Close Systems</p>
<ul>
<li>The transfer of energy is governed by the <a href="https://www.wikiwand.com/en/Zeroth_law_of_thermodynamics" target="_blank" class="r link">laws of thermodynamics</a></li>
<li class="y">Law Zero: </li>
<ul>
<li>If two thermodynamic systems are each in a thermal equilibrium with a third one, then they are in thermal equilibrium with eachother.</li>
</ul>
<li class="y">First Law:</li>
<ul>
<li>
Similiar to the Conservation of Energy:
</li>
<li>Energy can not be created nor destroyed rather transformed and the total energy in an isolated system stays constant</li>
<li>In Equation form: Without the transfer of matter</li>
$$\Delta U = Q - W$$
where.
<li>U = Change in internal energy</li>
<li>Q = heat added</li>
<li>W = work done</li>
</ul>
<li class="y">Expansion of the first Law:</li>
<ul>
<li>The first law has several principles</li>
<ul>
<li class="y">Conservation of Energy</li>
<li class="y">A concept of internal Energy and it's relationship to temperature</li>
<ul>
<li>Let's say a system has a definite temperature, then its total energy would be distringuishable in three ways. </li>
<li>If its moving it has <a href="" class="y">Kinetic Energy</a></li>
<li>If it is not moving but could move, such as a ball in mid-air then it has <a href="" class="y">Potential Energy</a></li>
<li>Then it has its own internal energy</li>
<li>All of this can be presented using the equation</li>
</ul>
$$\color{#fcc02e} E_{total} = KE_{system} + PE_{system} + U_{system}$$
<li class="y">Work</li>
<ul>
<li>Work is a measure of energy transfer</li>
<li>Usually measured in joules</li>
<li>Ap Physics Equation:</li>
$$\color{#fcc02e} \Delta E = W = F_{||}D\cdot cos$$
</ul>
</ul>
</ul>
</ul>
<br>
<ul>
<iframe width="100%" height="500" src="https://www.youtube.com/embed/TFP6SvWPOQc" frameborder="0" allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture" allowfullscreen></iframe>
</ul>
<br>
<ul>
<li>
<p class="y">Open Systems</p>
<ul>
<li>
Matter can flow into and out of
</li>
<li>
Energy such as heat or light can flow into and out of
</li>
</ul>
<br>
<ul>
<li class="y">
Examples
</li>
<ul>
<li>A stove top heating a pot of water. Energy is transferred between the stove,pot, and water but since heat can be lost into the air we consider it an open system.</li>
<li>
</li>
</ul>
</ul>
</li>
<li>
<p class="y">Closed Systems</p>
<ul>
<li>
A system which can not transfer energy to its surroundings.
</li>
</ul>
</li>
<li>
<p class="y">Isolated Systems</p>
<ul>
<li>
Nothing enters, nothing leaves
</li>
</ul>
</li>
</ul>
</div>
<div class=" project" id="more" style="background-color: #fcc02e; color:black; border:transparent">
<h3>Great Tools</h3>
<p>Cool tools I use for the Physics site.</p>
<p>All free</p>
<ul>
<p>Broad</p>
<ul>
<li>
<a href="https://www.wikipedia.org/" style="color:black; text-decoration: underline !important">Wikipedia</a>
</li>
<li>
<a href="https://khanacademy.org" style="color:black; text-decoration: underline !important;">Khan Academy</a>
</li>
<li>
<a href="https://michaelgathara.com/yt" style="color:black; text-decoration: underline !important;">YouTube</a>
</li>
<li>
<a href="https://michaelgathara.com/spotify" style="color:black; text-decoration: underline !important;">My Spotify</a>
</li>
<li>
<a href="https://ocw.mit.edu/index.htm" style="color:black; text-decoration: underline !important;">MIT opencourseware</a>
</li>
</ul>
<p>General Informative</p>
<ul>
<li>
<a href="https://www.physicsclassroom.com/" style="color:black; text-decoration:underline !important;">The Physics Classroom</a>
</li>
<li>
<a href="http://www.solvephysics.com/index.html" style="color:black; text-decoration:underline !important;">Solve Physics</a>
</li>
</ul>
<p>Kinematics</p>
<ul>
<li>
<p>Problems: <a href="http://www.solvephysics.com/problems_kinematics.shtml" style="color:black; text-decoration:underline !important;">Solve Physics</a></p>
</li>
</ul>
</ul>
<br>
<p style="font-family: 'Satisfy', cursive;">- Michael Gathara</p>
</div>
</div>
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