Sign Up Now
Get instant access to over 1 million+ study documents
OR
Already registered? click here to login
By creating your account, you agree to our terms of service, privacy policy and student honor code.
inear equations -- as shown by line graphs -- are used to describe two quantities that are directly proportional with each other by some amount. An example of this is the formula for computing distances and speed. The distance traveled by an object is directly related to its speed. The faster it moves, the farther it goes. The formula for computing the distance is D = S*T where'd = distance, S = speed, and T = time. For example, a person walking at a constant speed of 4 feet/second will traverse the distance for each second that passes:
Parabola
Parabolas are produced using quadratic equations of the form y = Ax^2 + Bx + C. A real life example is the formula for acceleration: s = ut + 1/2(at^2), where'd = distance, t = time, and a = average acceleration. The distance traveled is proportional to the square of the time. Another interesting example is the path of an object thrown upward. It will travel up and fall down along a parabolic path as described by the equation y = v0t - 1/2 gt^2, where v0 is the initial velocity, g is the acceleration due to gravity (9.8 meters/s^2), and t is the time elapsed in seconds. For example, an object is thrown at 9 meters per second. The path it will travel is described by the following graph:
3.Hyperbola
Hyperbolas are produced using equations of the form (x - h)^2/a^2 - (y - k)^2/b^2 = 1. There are various examples of hyperbolas in real-life. Two stones thrown in a pool of water will produce ripples of concentric circles. The intersection of these circles form hyperbolas. This property is being used by radars to pinpoint the location of an object. The path of a comet as it passes by the earth is also a hyperbola. In physics, the relationship between the volume and pressure of a gas (with constant temperature) is inversely proportional and has the shape of a hyperbola when plotted.
4.Exponential
Exponential functions have the form y = a^x, where a and x are real numbers. These functions can be found in real-life situations such as computation of compound interests, radioactive decay, and population growth.
Bibliography
Budd, Chris and Sangwin, Chris. "101 Uses of a Quadratic Equation: Part II." Retrieved May 22, 2006 at http://plus.maths.org/issue30/features/quadratic/index-gifd.html
Hyperbola." Retrieved May 22, 2006 at http://www.punahou.edu/acad/sanders/geometrypages/GP20Hyperbola.html
Physics of Swimming Streamlining "drag" effects a swimmer performance speed. Key words Friction a solid a fluid. Viscosity - density liquid. Drag forces Impulse related momentum. I trials a swimmer starting a suit, suit cap (hair creates drag), added a piece clothing swimmer trial show weight, drag slows swimmer . Physics of Swimming The physics of swimming The density of water is 1000 times higher than density of air. Therefore, water is more resistant
Physics of Magnetism An Overview of the Exciting World of the Modern Physics of Magnetism and Magnetic Fields The Physics of Magnetism and Magnetic Fields Today, magnets and magnetism literally help the world go 'round and these fundamental forces have provided the source for countless innovations that have improved the standard of living for many people. As can be seen in the graphic on the cover, magnetic field lines are a way to
A phase change is what occurs when matter moves from one of these states to the other. The melting of ice into liquid water, for instance, constitutes a phase change, just as the boiling of water into invisible water vapor, or the condensing of gaseous water vapor in the air into liquid water on a cool windowpane or glass of water, are also phase changes. Phase changes generally require a
Physics of Swimming Swimming is a sport as well as exercise done in a water body which involves the movement of every body part and dragging the movement against the water body. Individuals practicing swimming wear swimming suits, which are specially designed form of clothes used while in water based activity (Haphaestus, B., 126). Swim suits help in reducing drag in water which in turn improves the propel lance in water. The
The important technical factor that makes cruise missiles soar over rocket-powered missiles is that, as it breathes air, it does not have to carry an oxidizer and thus its range is considerably longer compared to a rocket powered missile of equal weight. The rocket powered missile is the frontrunner on all other aspects. For example it travels much faster, it can fly low, it can have lower radar cross sections,
According to Newton, "To every action there is always opposed an equal reaction; or the mutual actions of two bodies upon each other are always equal, and directed to contrary parts," (Zimmerman, 2008). In the act of pushing a pencil, the energy placed into pushing the pencil does not simply disappear with the writing. Most people write on flat, hard surfaces, such as wooden or acrylic desks. When these