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Benacka, Jan – EURASIA Journal of Mathematics, Science & Technology Education, 2016
The article gives an account of an experiment in which sixty-eight high school students of age 16 - 19 developed spreadsheet applications that simulated fall and projectile motion in the air. The students applied the Euler method to solve the governing differential equations. The aim was to promote STEM to the students and motivate them to study…
Descriptors: High School Students, STEM Education, Mathematical Models, Spreadsheets
Benacka, Jan – Physics Education, 2015
This paper provides the formula for the elevation angle at which a projectile has to be fired in a vacuum from a general position to hit a target at a given distance. A spreadsheet application that models the trajectory is presented, and the problem of finding the points of shot and impact of a projectile moving in a vacuum if three points of the…
Descriptors: Spreadsheets, Science Instruction, Physics, Motion
Benacka, Jan – International Journal of Mathematical Education in Science and Technology, 2009
This note gives a power series solution to the pendulum equation that enables to investigate the system in an analytical way only, i.e. to avoid numeric methods. A method of determining the number of the terms for getting a required relative error is presented that uses bigger and lesser geometric series. The solution is suitable for modelling the…
Descriptors: Motion, Geometric Concepts, Equations (Mathematics), Mathematics Instruction