Let's begin with a famous story of the race between a tortoise and a rabbit, that you might have heard. In the story, the rabbit runs faster and rest on the way while the tortoise runs with slower speed but moves continuously till the end point. Finally slow and steady runner wins the race.
The graph below depicts the story of the race between a tortoise and a rabbit.
Graph 5.3: Rabbit and Tortoise Race
To tell your friends how both rabbit and tortoise were moving over time compared to each other, you need to know how to interpret the graph.
On the line segment AB in the graph, distances d1 and d2 corresponds to times t1 and t2, which shows positon is changing with respect to time. That means line segment AB in graph represents motion.
Similary line segments CD and AE also represent motion. Now, you can see on the line segment BC, distance from origin d3 corresponds to time t3. Further, distance d3 also corresponds to time t4. For two different times we have same distance from the origin. So for this segment of graph, position is not changing with time and this represents the state of rest.
Can you figure out which curve (ABCD or AED) corresponds to rabbit’ s motion and why?
[Contributed by administrator on 10. Januar 2018 21:46:52]
Tortoise and Rabbit's race
Let's begin with a famous story of the race between a tortoise and a rabbit, that you might have heard. In the story, the rabbit runs faster and rest on the way while the tortoise runs with slower speed but moves continuously till the end point. Finally slow and steady runner wins the race.
The graph below depicts the story of the race between a tortoise and a rabbit.
Graph 5.3: Rabbit and Tortoise Race
To tell your friends how both rabbit and tortoise were moving over time compared to each other, you need to know how to interpret the graph.
On the line segment AB in the graph, distances d1 and d2 corresponds to times t1 and t2, which shows positon is changing with respect to time. That means line segment AB in graph represents motion.
Similary line segments CD and AE also represent motion. Now, you can see on the line segment BC, distance from origin d3 corresponds to time t3. Further, distance d3 also corresponds to time t4. For two different times we have same distance from the origin. So for this segment of graph, position is not changing with time and this represents the state of rest.