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Distance, Speed and Time Graphs. What kind of motion happens when an object rolls down a hill?. The distance (position) vs. time graph. Motion graphs are an important tool used to show the relationships between distance, speed, and time.
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Distance, Speed and Time Graphs • What kind of motion happens when an object rolls down a hill?
The distance (position) vs. time graph • Motion graphs are an important tool used to show the relationships between distance, speed, and time. A runner can learn more about performance by studying data and graphs.
The distance vs. time graph • Distance vs. time data tells you the runner’s distance at different points in time. • The runner is at 50 meters after 10 sec., 100 meters after 20 sec. and 150 meters at 30 sec.
Graphs show relationships • A good way to show a relationship between two variables is to use a graph. • A graph makes it easy to see if changes in one variable cause changes in the other variable (the effect).
3.2 The distance vs. time graph • To graph data, you put distance on the vertical (y) axis . • Time goes on the horizontal (x) axis. • Data are plotted between x and y axis.
Reading a graph • A graph can give you an accurate answer even without doing the experiment. • Students doing an experiment measured the speed of the car at 20, 40, 60, and 80 cm positions. • They want to know the speed at 50 cm.
Slope • You can use distance vs. time graphs to quickly compare the speeds of different objects. A steeper line on a distance vs. time graph means a faster speed.
Distance vs. time graphs • The distance vs. time graph has distance on the y-axis and time on the x-axis. Which runner has the fastest constant speed?
Speed vs. time graphs These graphs each show the same event. What differences do you notice?