Others Like “Is There Such a Thing as Streakiness in Baseball?” (top 20 results)
What do knots, maps, mazes, driving directions, and doughnuts have in common? The answer is topology, a branch of mathematics that studies the spatial properties and connections of an object. Topology has sometimes been called rubber-sheet geometry because it does not distinguish between a circle and a square (a circle made out of a rubber band can be stretched into a square) but does distinguish between a circle and a figure eight (you cannot stretch a figure eight into a circle without…
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Let's suppose you can take advantage of the Internet and get a 'pen pal' located a 1000 miles away in another city. On the same night, and at EXACTLY the same time 'Universal Time', make a CAREFUL observation of where the Moon is located with respect to the background stars. You should be able to discern a slight (about 1/2 the Moon's diameter) shift in position due to parallax. Then, with a little geometry, you could estimate the distance of the Moon during the full lunar cycle (Odenwald,…
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Block off one-third of a soccer net with a cone, 5-gallon bucket or some other suitable object. Shoot into the smaller side from a set distance, but systematically varying the angle to the goal line. Take enough shots at each angle to get a reliable sample. How does success vary with angle? For a basic project: How do you think your success rate will vary with angle? Draw a conclusion from your experimental results. A bar graph showing success rate at different angles can help to…
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You can measure the diameter of the Sun (and Moon) with a pinhole and a ruler! All you need to know is some simple geometry and the average distance between the Earth and Sun (or Moon). An easy way to make a pinhole is to cut a square hole (2-3 cm across) in the center of a piece of cardboard. Carefully tape a piece of aluminum foil flat over the hole. Use a sharp pin or needle to poke a tiny hole in the center of the foil. Use the pinhole to project an image of the Sun onto a wall or piece…
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Imagine a symmetrical grid of nine points superimposed over the ball. Kicking the ball squarely on the center point imparts no spin, but kicking on any of the other points will impart spin on the ball. How will the resulting spin affect the trajectory of the ball for each of the 8 outer grid points? Kicking the ball with a sliding motion of the foot is another way to impart spin. Once you've made your predictions, you can set up to test them with a soccer ball, video camera and a tape…
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Aerodynamics and Hockey: Does the Force of Drag Have an Effect on the Distance the Puck Will Travel?
Think of a way to launch the puck with a reproducible force, and examine the effect of launching the puck in different orientations on the distance it travels. For more information on the physics, see Haché, 2002.
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A fractal is, "a rough or fragmented geometric shape that can be subdivided in parts, each of which is (at least approximately) a reduced/size copy of the whole" (Mandelbrot, 1982). There are many different fractal patterns, each with unique properties and typically named after the mathematician who discovered it. A fractal increases in complexity as it is generated through repeated sets of numbers called iterations. There are many interesting projects exploring fractal geometry that go beyond…
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Is there a correlation between birth order and grade point average? Design a survey study to find out. How many completed surveys do you need for a representative sample of your school? If you limit your survey to one school, would you expect it to be representative of a larger population (such as your county or state?) How do you control for potential effects of parental age at birth? (In other words, younger siblings will have a higher probability of being born to older parents. If there…
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Many sports skills require quick reaction times: think of hitting a 95-mph fastball, returning a 100-mph tennis serve, or blocking a slapshot at the net in hockey. (The Experimental Procedure section below has one way to measure reaction time.) Is your right hand faster than your left? Can you improve your reaction time with practice? Do both hands improve if you only practice with one hand? Try relating your reaction time to real situations in your favorite sport. For example, calculate…
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