Unit 5 Lesson 2 Motion and Speed Copyright © Houghton Mifflin Harcourt Publishing Company 1

Unit 5 Lesson 2 Motion and Speed Florida Benchmarks SC.6.P.12.1 Measure and graph distance versus time for an object moving at a constant speed. Interpret this relationship. MA.6.A.3.6 Construct and analyze tables, graphs, and equations to describe linear functions and other simple relations using both common language and algebraic notation. Copyright © Houghton Mifflin Harcourt Publishing Company 2

Location, Location, Location Unit 5 Lesson 2 Motion and Speed Location, Location, Location How can you describe the location of an object? Position describes the location of an object. Comparisons using known objects or locations often are used to describe position. A reference point is a location to which you compare other locations. Copyright © Houghton Mifflin Harcourt Publishing Company 3

How can you describe the location of an object? Unit 5 Lesson 2 Motion and Speed How can you describe the location of an object? Describe the positions of the different parts of the zoo. Copyright © Houghton Mifflin Harcourt Publishing Company 4

MOVE It! What is motion? Motion is a change in position over time. Unit 5 Lesson 2 Motion and Speed MOVE It! What is motion? Motion is a change in position over time. Even when motion is not observed directly, starting points and end points can indicate motion has occurred. Copyright © Houghton Mifflin Harcourt Publishing Company 5

How is distance measured? Unit 5 Lesson 2 Motion and Speed How is distance measured? Distance can be measured as a straight line between two positions. Distance can also be measured as a total length of a certain path between two positions. The standard unit of length for distance is the meter (m). Copyright © Houghton Mifflin Harcourt Publishing Company 6

How is distance measured? Unit 5 Lesson 2 Motion and Speed How is distance measured? Which would be greater, a straight-line or a total length of path distance from A to B? Copyright © Houghton Mifflin Harcourt Publishing Company 7

Unit 5 Lesson 2 Motion and Speed What is speed? Speed is a measure of how far something moves in a given amount of time. Speed measures how quickly or slowly an object changes its position. Fast objects move farther than slower objects in the same amount of time. Copyright © Houghton Mifflin Harcourt Publishing Company 8

Unit 5 Lesson 2 Motion and Speed What is average speed? Average speed is a way to calculate the speed of an object that may not always be moving at a constant speed. Average speed describes the speed over a stretch of time rather than at any exact moment in time. Copyright © Houghton Mifflin Harcourt Publishing Company 9

Speed It Up! How is average speed calculated? Unit 5 Lesson 2 Motion and Speed Speed It Up! How is average speed calculated? Speed can be calculated by dividing the distance an object travels by the time it takes to cover the distance. speed = distance/time s = d/t Copyright © Houghton Mifflin Harcourt Publishing Company 10

Speed It Up! How is average speed calculated? Unit 5 Lesson 2 Motion and Speed Speed It Up! How is average speed calculated? If two objects travel the same distance, the object that takes less time has the greater speed. An object with a greater speed travels farther in the same time than an object with a lower speed. The standard unit for speed is meters per second (m/s). Copyright © Houghton Mifflin Harcourt Publishing Company 11

Fast Graphs How is constant speed graphed? Unit 5 Lesson 2 Motion and Speed Fast Graphs How is constant speed graphed? Distance-time graphs are used to plot the distance an object travels over time. The distance of an object away from a reference point is plotted on the y-axis. Time is plotted on the x-axis. Objects moving at a constant speed make a straight line on the graph. Copyright © Houghton Mifflin Harcourt Publishing Company 12

How is constant speed graphed? Unit 5 Lesson 2 Motion and Speed How is constant speed graphed? The slope, or steepness, of the line is equal to the average speed of the object. Average speed can be calculated by dividing the change in distance by the change in time for that time interval. slope = change in y/change in x Copyright © Houghton Mifflin Harcourt Publishing Company 13

How are changing speeds graphed? Unit 5 Lesson 2 Motion and Speed How are changing speeds graphed? On a distance-line graph, a change in the slope of a line indicates a change in speed. If the line gets steeper, the object’s speed has increased. If the line gets less steep, the object has slowed down. A flat line indicates zero speed. Copyright © Houghton Mifflin Harcourt Publishing Company 14

Follow Directions What is velocity? Unit 5 Lesson 2 Motion and Speed Follow Directions What is velocity? A vector is a quantity that has both size and direction. Velocity is speed in a specific direction. Objects can have the same speed but different velocities because of their direction of travel. Copyright © Houghton Mifflin Harcourt Publishing Company 15

Unit 5 Lesson 2 Motion and Speed What is velocity? Average velocity depends on the distance from the starting point to the final point. Average velocity can be 0 km/h if you travel at a certain speed to one point and then travel back to the starting point. Copyright © Houghton Mifflin Harcourt Publishing Company 16