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Unit 1, Chapter 2. Integrated Science. Unit One: Forces and Motion. Chapter 2 Mathematical Models. 2.1 Using a Scientific Model to Predict Speed 2.2 Position and Time 2.3 Acceleration. Chapter 2 Learning Goals. Construct a speed vs. distance graph.
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Unit 1, Chapter 2 Integrated Science
Unit One: Forces and Motion Chapter 2 Mathematical Models • 2.1 Using a Scientific Model to Predict Speed • 2.2 Position and Time • 2.3 Acceleration
Chapter 2 Learning Goals • Construct a speed vs. distance graph. • Use a graph to make a prediction that can be quantitatively tested. • Calculate the percent error between a measurement and a prediction. • Create and analyze a distance vs. time graph. • Determine the slope of a line. • Distinguish between linear and nonlinear graphs. • Distinguish between speed and acceleration. • Calculate acceleration from a formula. • Calculate acceleration from the slope of a speed vs. time graph.
accelerate acceleration average speed conceptual model deceleration dependent variable free fall graphical model gravity independent variable physical model scientific model Chapter 2 Vocabulary Terms
2.1 Scientific Models • What is a scientific model? • Physical model? • Conceptual model? • Graphical model?
2.1 How to make a graph • Decide what to put on the x and y axis. • Make a scale for each axis by counting boxes to fit your largest value. • Plot your points by finding the x value, and drawing a line up until you get to the right y value. Put a dot for each point.
2.1 How to make a graph • Draw a smooth curve that shows the pattern of the points. Don’t simply connect the dots. Make a title for your graph.
Key Question: Can you predict the speed of the car at any point on the ramp? 2.1 Using a Scientific Model to Predict Speed *Read text section 2.1 BEFORE Investigation 2.1
2.2 Position and Time • Position- a comparison from starting point, includes direction. • Distance- an interval of length without regard to direction.
2.2 Determining Slope • Slope is the ratio of “rise” (vertical change) to the “run” (horizontal change) of a line. • The rise is determined by finding the height of the triangle shown. • The run is determined by finding the length along the base of the triangle.
Key Question: How do you model the motion of the car? 2.2 Position and Time *Read text section 2.2 BEFORE Investigation 2.2
2.3 Acceleration • Acceleration = the rate of change in speed of an object • =change in speed • change in time
Key Question: How is the speed of the car changing? 2.3 Acceleration *Read text section 2.3 BEFORE Investigation 2.3