Pre-Calculus

Pre-Calculus STEAM Journal

Pre-Calculus STEAM Portfolio Project

Destinie Johnson - STEAM Portfolio Project Turn-In Parts

This project was for using the Unit Circle for Pythagroem Theorm. With this, we can use this for real world problems. Even though there wasn't a lot, we just had to show how the Unit Circle works.

Bottle Rocket Project

Intro

During this project, we create bottle rockets, to then launch our rocket, to investigate projectile motion. Projectile motion is the motion of an object thrown or projected into the air, subject to only the acceleration of gravity. The object is called a projectile, and its path is called its trajectory.

Design Consideration

Wings and Fins

Since a rocket can't function without its wings and fins. We had to create these things for the rocket bottle to fly and have momenteum and to also stabilze the rocket. So when creating a rocket you have to think of what wings and fins you want to create to stabilize the rocket without the fins and wings coming apart in the sky and staying in the sky longer than others.

Weight

With the weight of the rocket we had to put at least half or a third of water into our rocket bottles for it to fly, with the pressuraized air. You can increase the force further by adding a small amount of water, which increases the mass expelled by the air pressure in the rocket.

My Design

With the design of the rocket. My group decided to design a rocket that has butterfly wings. Since butterflies have four wings that what we did. But instead we added a big wing and small wing together on bith sides. As well as adding small wings to the bottom to hold the rocket. The bottle that we used, is a coke bottle, because coke bottles seems to go higher than other soda brands because of its acidiy. My group and I kind of figured that the bottle wouldn't go far because of our design but since its a cokek bottle it gives us a small advantage of the bottle staying up in the sky a little longer.

The Launch

After the construction of everyone's rockets was complete, we launched them with pressurized air on the school field.

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Trigonometric Calculations

While understanding trigonometry from my pre-calculus course, we calculated the height of the bottle rocket from the perspective of a primary viewer, hm, therefore the vertical height achieved by the rocket. With the calculations that I recieved from the formula Final Position = (initial velocity) x (time) – (0.5)(32)(time)^(2). We used our understanding of physics to calculate initial velocity, yy, from the final position equation. In which the initial velocity was 64 feet per second. After we obtained all measured and calculated values, we were able to successfully graph our bottle rocket's motion on a velocity x time graph.

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