Imagine a time-position graph where the velocity of an object is constant. What will be observed on the graph concerning the slope of the line segment as well as the velocity of the object?(1 point)

Responses

The slope of the line is equal to zero and the object will be in motion.
The slope of the line is equal to zero and the object will be in motion.

The slope of the line is negative, and the object will be stationary.
The slope of the line is negative, and the object will be stationary.

The slope of the line is positive, and the object will be stationary.
The slope of the line is positive, and the object will be stationary.

The slope of the line is equal to zero and the object will be stationary.

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 month ago

In a time-position graph where the velocity of an object is constant, the line representing the object's motion will be a straight line with a consistent slope.

- If the object is moving at a constant velocity (whether positive or negative), the slope will be non-zero (positive or negative) depending on the direction of motion.
- If the slope is zero, this indicates that the object is stationary.

Therefore, the correct interpretation based on the provided options is that if the velocity is constant and non-zero, the slope of the line must be non-zero (positive or negative) as well.

Thus, the correct response is not represented in your options. The only valid interpretations would be:

- The slope of the line is positive, and the object is in motion (constant positive velocity).
- The slope of the line is negative, and the object is in motion (constant negative velocity).

If the slope is zero, then the object is stationary, which contradicts the notion of constant velocity.