HP Cycle 4
9/22 - 9/28
🟢 5: Th 9/22, 🔵 7: F 9/23 - creating motion graphs
Today, we'll first review the use of significant figures for lab.
Today , we'll first watch a demonstration of the creation of a motion diagram. Then, discover three different methods for getting an instantaneous velocity vs. time graph from your position vs. time data/graphs. We'll be working with your homework Practice - Getting graphs from TTT data to "transform" your graphs.
Presentation: Sig Figs in Lab
Handout: Sig Figs in Measurement (3 pages)
Homework: For the two different trials on Practice - Getting graphs from TTT data:
Describe the motion in words.
Predict the x vs. t and v vs. t for trial 1 and sketch it.
Draw position vs. time for each trial (one per page).
Draw velocity vs. time for each trial (one per page).
Questions to think about:
What will you measure for your data? AB, BC, CD, ... or AB, AC, AD, ...
From where to where on each dot will you measure?
Why will you make separate measurements for each data point?
❗ Assessment on all of graphical analysis of motion Wednesday, September 28th.
🟩 5: F 9/23, 🟦 7: T 9/27 - linearization
Today, we'll work on our graphing lab skills. In order to find a mathematical relationship between two variables, it is common to graph the data. If the relationship between the two variables is linear, you can write a mathematical relationship by finding the slope and writing a slope-intercept equation. However, if the relationship is not linear, finding an equation that relates the two equations is a little more difficult. While one way to get an equation is with a computerized curve fit, today we will learn how to do it by hand with "linearization." We'll first read through determining relationships from graphs to review what different curves look like and then figure out how to linearize the graph.
Then, we'll continuing to work with Practice - Getting graphs from TTT data and try to linearized the position vs. time graph. What do you think the slope of the linearized graph represents?
If there's time at the end of the period, you may study for your assessment next class.
Homework: Make sure you've finished linearizing the position vs. time graph of trial 2 from Practice - Getting graphs from TTT data. Find an equation of the best fit line for every straight line in your packet (to be collected Thursday for pd 5 and Friday for period 7). ❗ Assessment on all of graphical analysis of motion next class - Wednesday, September 28th. (will not assess linearization skill)
Recommended Additional Practice Problems: Ch 2 #3, 4, 8, 18, 24, 19, 25, 20, 22, 36
💚❗ 5: W 9/28, 💙❗ 7: W 9/28 - inclined plane lab (part 1)
Assessment on all of graphical analysis of motion TODAY!
LAB SAFETY: The edges of the tracks hang off the tables and are sharp so students are reminded to be aware of where they are walking when doing the experiment.
Today, after the quiz, we'll be starting a lab where we investigate the cart rolling down a ramp in the "Inclined Plane Lab." There are four main goals of this lab:
To be able to describe the motion of an object down an inclined plane using the kinematic vocabulary that we've learned this unit.
To find the relationship between the angle of the incline and the resulting motion (if there is one).
To learn to linearize graphs in order to find the non-linear relationship between two variables.
Familiarizing yourself with using sensor carts with 📈 Vernier Graphical Analysis Web App.
We will spend two class periods working collaboratively on this lab. Each person will be responsible for one trial, and then we will aggregate the data from all of the trials together in one Google Sheets spreadsheet for the entire class.
Homework: Make sure you've finished linearizing the position vs. time graph for trial 2 from Practice - Getting graphs from TTT data - DUE NEXT CLASS. Find an equation of the best fit line for every straight line in your packet including linearized graph (to be collected Thursday for pd 5 and Friday for period 7).