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Volume XIV
Which is Harder to Hit: Curve Ball or Drop Ball? Abstract: Using differential equations, we compare a curve ball in baseball to a drop ball in softball, and conclude that a softball is harder to hit based on the amount of break throughout the pitch.
Tracks n’ Trestles Abstract: Using the formula for expected values, we calculate the average expected number of turns it will take to win in the game Thomas’ Tracks n’ Trestles, by Briarpatch.
Trajectory Modeling of Voyager 2 Under
Gravitational Influence of Jupiter Abstract: Through a series of differential equations, an accurate model of Voyager 2's trajectory can be made as the probe experiences the powerful gravitational field of Jupiter. By defining the relationship between the Sun, Jupiter, and Voyager 2 upon a modified celestial coordinate plane, both a trajectory map and a plot of probe velocity can be garnered. As suspected, the 'slingshot' experienced by Voyager 2 increases its total energy and bends its path in order to continue its planetary mission. By using actual data from NASA and the Goddard Space Flight Center, a comparison between this model and real-world data is made, showing that the model approximates the actual trajectory well. Discrepancies arise only from the approximations used to initially create the model.
The Nervous Pitcher: A Mathematical Study of
a Slider Abstract: Using differential equations, we examined the effects of variations in topspin and velocity on a slider pitch in baseball. Our goal is to find the range of combinations of velocity and topspin that cause the ball to pass through the strike zone. Mathematical (Magical!) Cards Abstract: Card tricks often use the sleight of hand or a trick of the eye but others are completely mathematical. We will take a look a specific card trick and the function that describes the movement of the selected card. |
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