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How can you derive other kinematics formulas from definitions?

posted Sep 21, 2018, 7:51 AM by Barbara Fortunato   [ updated Sep 30, 2018, 6:08 PM by Barbara Fortunato ]
2: W 9/26, 5: W 9/26, 7: W 9/26

Today, we'll talk about the graphs that were generated last night.  We're going to compile our data together in one big class graph. We'll analyze data to see the relationship between physical quantities in our lab.  We will then be able to manipulate the mathematical models created from our data.  See Google Classroom for the class data.
 
We've already learned about the equations that DEFINE average velocity and average acceleration.  Today, we'll start to use our mathematical definitions to solve problems in "It's Your Lucky Day" Packet.  In class, we'll do #1 together and then start #2 in your groups.  You do not have to finish this for homework.
 
Homework:  Go back to the Practice - Getting graphs from TTT data packet that we've started, and make your fifth and final graph using the concepts from determining relationships from graphs to transform your curved graph into a linear graph.  Find the slope of the line with units.

Looking at your class graph from the cart-ramp lab, determine what kind of function it is, transform to make the graph linear if necessary, and write a mathematical equation (equation of the line) describing how acceleration relates to angle.  (If you don't have graph paper at home, google "create graph paper.")  Please do not feel any need to look up the "correct" answer.  Please just interpret your class data.   Then answer the following questions in your journal as well:
  • Describe the motion of a cart rolling down a ramp using the vocabulary we've learned the past week. 
  • How would you describe the relationship between angle and acceleration?  (Quantitative relationship - check Google Classroom for class data!)
The answers to these questions are your conclusion to  your lab.  Make sure all the graphs that YOU analyzed as well as the group graph are taped into your notebook.  

Next Tuesday, October 2nd,  you will take an open-lab-notebook LAB QUIZ!!!  No need to study, but you must understand everything you did in lab.  The above homework counts as your studying.
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