Suppose the observed motion of a moving airplane, illustrated by a distance vs. time graph, is nearly a straight line with zero distance traveled at zero time. State what this shows about the relationship between distance and time, name the type of relationship, and tell what it indicates about the speed of the airplane.

4. Suppose the observed motion of a moving airplane, illustrated by a distance vs. time graph, is nearly a straight line with zero distance traveled at zero time. State what this shows about the relationship between distance and time, name the type of relationship, and tell what it indicates about the speed of the airplane.

The observed motion of the moving airplane, as described by a distance vs. time graph, shows that there is a direct relationship between distance and time. This type of relationship is known as a linear relationship.

When the distance vs. time graph is nearly a straight line with zero distance traveled at zero time, it indicates that the airplane is stationary or not moving initially. The slope of the line, which represents the speed of the airplane, would be zero or very close to zero.

In the given scenario, where the distance vs. time graph of a moving airplane is nearly a straight line with zero distance traveled at zero time, we can conclude the following:

1. Relationship between distance and time: The relationship between distance and time can be described as a linear relationship. This means that the distance traveled by the airplane is directly proportional to the time elapsed.

2. Type of relationship: As mentioned above, the relationship between distance and time is linear. In a linear relationship, when one variable (time) increases at a constant rate, the other variable (distance) also increases proportionally.

3. Speed of the airplane: If the distance traveled by the airplane is zero at zero time, it indicates that the airplane has not started moving yet. In other words, it implies that the airplane is initially at rest. Therefore, the speed of the airplane at the beginning is zero.

To determine the actual speed of the airplane, you would need additional information from the graph, such as the slope (steepness) of the line. The slope represents the rate at which the distance changes with respect to time, known as velocity. A steeper slope would indicate a higher velocity or speed. However, based on the given information alone, we can only conclude that the airplane starts from rest.

IT Shows us that the relationship between the distance and the time is linear and it tells us that the speed of the plane is constant