parametric equations projectile motion problems

#Parametric equations projectile motion problems generator#

Click below to open the graph.ĭesmos was also used to start the unit, and allow students to see how parametrics behave. Below, one group turned in most of their work in a Desmos file, which shows an “average” punt, a punt which would hit the scoreboard, and an “ideal” punt for distance. I was happy with my students’ arguments and hope to do this activity again. I did have to stop class at one point to explain that a good angle for hitting the scoreboard may NOT be ideal for hitting a punt as long as possible the two questions I am asking are separate from each other. What angles are ideal for punting a football?.Most teams found information they needed: Groups were allowed to use the internet to research any information they needed, as well as the Desmos calculator to help model their ideas. How far could a punter kick a football?.Is the Cowboys Stadium scoreboard too low?.To start the day, teams had netbook computers to use, and I showed the following video to start discussion:Īfter a brief discussion about football and the uniqueness of the Cowboys Stadium scoreboard, I told they class they had two questions to answer: I wanted a culmuniating assignment for this unit which would allow students to work collaboratively, and demonstrate their comfort with utilizing the parametric equations. After a quick trig review, we used these equations for our projectile problems. Now we had the ability to think about how the horizontal and vertical position of an object were both dependent on the time. Sometimes the trajectory of a moving object is better stated as a set of parametric equations like x(t) & y(t) than as a traditional function like. This was a contrast to material learned earlier in the semester, where quadratics are often used to model motion and explore max/min of projectiles. 0:00 19:21 Projectile Motion with Parametric Equations Jeff Nelson 5.25K subscribers 6. In this short unit, my ultimate goal was to expose students to projectile motion expressed parametrically. HOW JERRY JONES’ OBNOXIOUS FOOTBALL STADIUM PROVIDED A FUN ACTIVITY….FROM AN EAGLES’ FAN

But a new unit to me became fun and hopefully relevant to my students through technology and some great class discussions.

With changes to our HS courses, and having not taught Algebra 2 for many years, I have never taught parametrics before. In Algebra 2, one of the last units of the course is on parametric equations.

#Parametric equations projectile motion problems generator#

Test and worksheet generator for Precalculus. Over 100 individual topics extend skills from Algebra 2 and introduce Calculus. Projectile Motion at a Height: Projectile motion of an object with initial height y 0, initial. Infinite Precalculus covers all typical Precalculus material and more: trigonometric functions, equations, and identities parametric equations polar coordinates vectors limits and more. Getting close to the end of the semester here, with just a few days remaining before final exams. Often, parametric equations are used to describe the motion of an object over time.