Rocket Project
Cover Letter
In this project we learned about graphing quadratic functions in math. Newton's 3 laws acceleration, velocity, and position in physics. The main point of this project however was to make a bottle rocket while taking everything we learned into consideration. Position was important because it taught us how far the projectile traveled from its original position. Velocity was also a very important part of this project because velocity tells you how fast an object is going in a certain direction. Acceleration was also a key component of this project because it shows you how fast a dum dums velocity changes as soon as gravity is acted upon it. A quadratic function is a function whose standard form has the equation f (x) = ax2 + bx + c. It relates to projectile motion because if you graph a quadratic function you get the shape of a parabola which is usually the shape you get when something is launched. During this process we started off by looking at rocket designs and taking inspiration from them to add to our own rocket design. We then put our rocket idea on to a blueprint so that it could really take a shape. We started off by splicing two smart water bottles together. By building our wings brayden helped us with the design and we then
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BluePrint
Reflection |
...CALCULATIONS
Max height using SOH CAH TOA-
Discovering the max height ables us to know in our process and pride in this project. To find the maximum height of our rocket, drawing a right triangle allows for a physical representation of our rocket's flight. Needing to use a formula to find the missing measurement will set us up to then calculate for the max height. We do have some things to take into account like the distance from the inclinometer to the launcher equaling 200ft, and the height of the inclinometer 4.75ft off of the ground. By now determining the measurements that we have we can now ask what formula we use. Trigonometry was taught to use in the beginning acting as a pretty useful function to help find a missing side of the “right triangle”. TOA is needed to find opposite and adjacent sides and by plugging in our known we end up with Tan(36)= x/200* 200 plus our height of the inclinometer. Ending in a max height of 149.75. Time of Max Height- Referring to our knowledge of Iphone frames equalling to 30fps we are able to convert our counted frames into seconds. By multiplying 71 (our counted frame time before it starts to fall) and dividing 1 by 30 (seconds over frames) equals our max height 2.36. Total flight time is doubled from half way being our max height. Initial Velocity- When the velocity at which our rockets motion starts the max height, time, gravity and vertical position given time ends in the calculation to solve for the initial velocity. To solve for this question using the position formula being h(t)=-1/2(g)(t2)+Vo(t)+yo you then end up with your final answer. Filling in our known and given variables we get a final answer of 101.256 being the initial amount of force our dark shy shark had. Theoretical Flight Time- To find the theoretical flight time our recorded h(t) formula stands for the height given time. Using the quadratic formula x= -b±b2-4ac/2a But first to understand how and what we apply our quadratic formula on we had to determine our A, B and C using h(t) formula. After knowing our variables the quadratic formula comes into play for representing the theoretical total flight time. Ending in a total or estimated total of 6.34 seconds. |