Questions and Answers
What are the four steps to make a graph?
Step 1- Choose the independent and dependent variable; Step 2- Make a scale for each axis; Step 3- Plot each point; Step 4- Draw a smooth curve.
What is a variable that can only have a positive value?
Distance
What is the difference between distance and position?
You can be in front or behind the origin.
Which way do negative and positive numbers go?
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What variables can be both positive and negative?
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Which way are north, east, south, and west positioned?
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Where does position go and where does time go on a graph?
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What is physical science all about?
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What happens to the graph when the variables have a weak relationship?
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What is a model?
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What does a steeper line mean/show on a graph?
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How do you calculate acceleration?
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What is the word that people use to describe slowing down?
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What is the difference between constant speed and constant acceleration?
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When does acceleration occur?
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What is curved motion and what causes it?
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What is a parabola?
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What axes are the independent and dependent variables on?
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What does m/s squared mean?
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What is speed with direction called?
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How is acceleration shown on a graph?
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Which one is the x and y in this coordinate pair (3,5)?
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What is the rate at which velocity changes?
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If an object moves on a curved path, what is the force of gravity called?
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How do you solve for intervals?
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What is a projectile?
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What is average speed?
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What is acceleration with constant speed?
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What is the slope formula?
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Study Notes
Graphing Basics
- Four steps to create a graph:
- Identify dependent (y-axis) and independent variables (x-axis).
- Establish a scale for each axis based on the largest value.
- Plot each point by connecting the x-value to the corresponding y-value.
- Draw a smooth curve to represent the pattern, avoiding direct dot connections.
Understanding Variables
- Distance is a variable that can only take positive values.
- Position and distance differ; position indicates location relative to an origin.
- Variables such as position, speed, and force can be both positive and negative, classified as vectors.
Coordinate System
- Positive numbers move to the right (in front of the origin), while negative numbers move to the left (behind the origin).
- Directions:
- North: Positive
- South: Negative
- East: Positive
- West: Negative
- Up: Positive
- Down: Negative
- Right: Positive
- Left: Negative
Graphing Position and Time
- Position is plotted on the vertical axis (y-axis), while time is on the horizontal axis (x-axis).
Relationships in Physical Science
- Physical science focuses on the relationships among variables.
- Weak relationships in graphs appear as scattered points without a clear line or curve.
Understanding Models and Motion
- Models illustrate relationships connecting two or more variables.
- A steeper line on a graph indicates faster movement.
- Acceleration is calculated by dividing the change in speed by total time.
Motion Characteristics
- Deceleration describes a decrease in speed.
- Constant acceleration means speed changes consistently over time, while constant speed remains unchanged.
- Acceleration occurs with changes in speed, direction, or both.
Curved Motion
- Curved motion, caused by sideways acceleration, results from turning.
- A parabola is identified as a bowl-shaped curve.
Graph Interpretation
- Independent variable is located on the x-axis; dependent variable on the y-axis.
- "m/s²" represents meters per second squared, often denoted as lowercase g.
- Velocity refers to speed with a specific direction.
- Acceleration is depicted by the slope of a line on a graph.
Understanding Coordinates
- In the coordinate pair (3,5), 3 represents the x-value and 5 the y-value.
- Acceleration signifies the rate at which velocity changes.
Specific Motion Types
- Objects on a curved path experience gravitational force termed "parabola."
- Projectiles are objects moving through space, influenced solely by gravity.
- Average speed is determined by the change in speed divided by the change in time.
- The slope can be calculated using the formula: slope = rise/run.
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Description
Test your knowledge on the four essential steps for creating a graph in this Science Chapter 3 quiz. Explore the definitions and processes that lead to effective graphical representations of data. Ideal for students looking to reinforce their understanding of graph-making techniques.