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 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 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 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.
The correct answer is: The slope of the line is equal to zero and the object will be in motion.
In a time-position graph where the velocity of an object is constant, the line will be a straight horizontal line (slope equals zero) indicating that the object is moving at a constant velocity. A positive slope would indicate an increasing velocity (acceleration), and a negative slope would indicate a decreasing velocity (deceleration).
The correct response is:
The slope of the line is equal to zero and the object will be in motion.
To determine what will be observed on a time-position graph where the velocity of an object is constant, we need to understand the relationship between velocity and the slope of the line on the graph.
First, let's recall that velocity is defined as the rate of change of position with respect to time. In other words, it is equal to the slope of the line on a time-position graph.
If the velocity of the object is constant, it means the object is moving with a constant speed in a particular direction without any change. In this case, the line on the graph representing the object's position will have a constant slope.
Now, let's analyze the given answer choices:
1. The slope of the line is negative, and the object will be stationary.
This is incorrect because a negative slope would indicate that the object is moving in the opposite direction, not stationary.
2. The slope of the line is equal to zero, and the object will be in motion.
This is incorrect as well. A slope of zero indicates that there is no change in position over time, suggesting that the object is stationary, not in motion.
3. The slope of the line is positive, and the object will be stationary.
This is incorrect as well. A positive slope indicates that the object is moving in a particular direction, not stationary.
4. The slope of the line is equal to zero, and the object will be stationary.
This is the correct answer. A slope of zero indicates that there is no change in position over time, suggesting that the object is stationary.
Therefore, the correct answer is: "The slope of the line is equal to zero, and the object will be stationary."