MOTION GRAPHS CREATING AND INTERPRETING GRAPHS. WHAT DO WE KNOW On the paper provided, write down everything you know about graphs and graphing.

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Presentation transcript:

MOTION GRAPHS CREATING AND INTERPRETING GRAPHS

WHAT DO WE KNOW On the paper provided, write down everything you know about graphs and graphing

Components of the Graph Review X- axis and Y-axis Scale and Variables Title How do you determine Scale Maximize the graph paper

Interpreting Graphs The purpose of a graph is to show a RELATIONSHIP between 2 variables 1. Positive Relationships: As one variable increases, so does the other Conversely, as one variable decreases, so does the other.

On your paper DRAW AN X AND Y AXIS AND THEN PLOT A LINE THAT SHOWS A POSITIVE RELATIONSHIP

Positive Relationships

Interpreting Graphs 2. Negative or Inverse Relationships: As one variable increases, the other decreases Conversely, as one variable decreases the other increases.

On your paper DRAW AN X AND Y AXIS AND THEN PLOT A LINE THAT SHOWS A NEGATIVE/INVERSE RELATIONSHIP

Negative Relationships

Line of Best Fit Line of Best Fit: Straight line drawn through linear data. The line does not necessarily connect the data points but is drawn through the majority of points, with an equal number of points above and below the line.

MOTION GRAPHS Graphs that deal with motion will have the following variables on their X and Y axis: Distance/Position Speed Time Distance and time will be used to calculate speed Speed and time will give us acceleration

Speed and Acceleration Speed: How fast you are going Acceleration: A rate of change in speed. Are you speeding up or slowing down?

Distance, Time and Speed Distance is the amount of space BETWEEN 2 objects. Time is an interval that has a beginning and an end Speed is the distance an object travels in a specific amount of time. Constant speed is the same distance is traveled every second or time interval

Relationship Speed is directly related to distance traveled

Relationship Speed is indirectly/inversely related to the amount of time

Position-Time Graphs On your paper explain how to find the speed of a car using a position-time graph

Calculate the Speed….

Constant Speed Position vs Time graphs will have a straight line when the object is traveling at a constant speed. Slope = Speed

Changing Speed A position vs time graph will have a curve when the object is traveling at a changing speed, steepness of the curve will indicate just how fast object is changing speed.

Calculating Speed v = d/t v = velocity or speed of an object d = distance traveled t = time that it took to travel that particular distance Units for speed are distance per unit of time -or- m/sec -or- km/hr

Solve these problems Use your notes to help you If a car travels 40 km in a time period of 2 minutes, what is its speed? If a car travels 60 km at 20 km/hr, how long does it take?

What is the relationship between speed and time (use your notes!)

Speed-Time Graphs for Acceleration Rate of change in an object’s speed Slope = Acceleration When you plot speed vs. time, you now have the acceleration of an object.

Describe the difference between speed and acceleration

Distance from Speed vs. Time Graph Distance is equal to speed x time The area of a graph represents speed x time Therefore the area below the line of best fit is the distance traveled

Draw a speed-time graph that shows an object that is moving at a constant speed

Sample Data for 10 Meter Race: AnimalTime/ Trial 1 SpeedTime/ Trial 2 SpeedTime/ Trial 3 SpeedAverage Speed m/sec. Dog6 second 67 Cat8 second 78 Turtle20 second 1819 Mouse15 second 1415 Lizard30 second 3231

Sample Graph 1. What will be on the X-Axis? 2. What will be on the Y-Axis? 3. Name the 3 different types of graphs and then state which you will make for this set of data.