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Mehmet Pakdemirli – International Journal of Mathematical Education in Science and Technology, 2025
The hanging rope problem is considered. The rope is subject to rotation with the rotation axis being parallel to the rope. Using a continuum model and the basic principles of dynamics, the differential equation governing the motion is derived. The dynamic equilibrium case without vibrational motion is assumed in deriving the equation. The equation…
Descriptors: Mathematical Models, Calculus, Motion, College Mathematics
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Yves Nievergelt – International Journal of Mathematical Education in Science and Technology, 2024
On 24 June 1994 at Fairchild Air Force Base, during practice for an air show, a low-flying B-52H aircraft banked its wings vertically and crashed. Emphasizing the activity of modeling drag and gravity, these notes examine the possibility of recovery with several models. First, with algebra, historical data lead to a model where in a free fall near…
Descriptors: Air Transportation, Mathematical Models, Prevention, Calculus
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Elaine Christman; Paul Miller; John Stewart – Physical Review Physics Education Research, 2024
This study proposes methods of reporting results of physics conceptual evaluations that more fully characterize the range of outcomes experienced by students with differing levels of prior preparation, allowing for more meaningful comparison of the outcomes of educational interventions within and across institutions. Factors leading to variation…
Descriptors: Physics, Science Instruction, College Entrance Examinations, Calculus