The graph shows an object’s distance traveled over a period of time.
Which statement is true?
The object’s acceleration is increasing.
The object’s velocity is increasing.
The object’s velocity is constant.
The object’s acceleration is increasing constantly.
Without seeing the graph or any additional information, it is not possible to determine which statement is true.
To determine which statement is true based on the given graph, we need to understand the relationship between distance, velocity, and acceleration.
1. The object’s acceleration is increasing.
To determine the acceleration of an object, we need to observe the slope of the velocity-time graph. If the slope of the graph is increasing, it indicates that the object's acceleration is increasing. However, since the graph provided is of the distance-time, we cannot directly determine the object's acceleration from this graph. Therefore, we can eliminate this option.
2. The object’s velocity is increasing.
From the distance-time graph, in order to find the velocity, we need to observe the slope of the distance-time graph. If the slope of the graph is increasing, it indicates that the object's velocity is increasing. Therefore, if the graph shows a positive slope (upward), it means that the object's velocity is increasing. So, this statement may be true.
3. The object’s velocity is constant.
If the graph shows a straight line with a constant slope, it implies that the object is moving at a constant speed, indicating a constant velocity. However, if the graph is not a straight line, we cannot conclude that the object's velocity is constant. Therefore, this statement may not be true based on the graph's shape.
4. The object’s acceleration is increasing constantly.
As mentioned above, the given graph is of the distance-time, and we cannot directly determine the object's acceleration from it. Therefore, we can eliminate this option.
In conclusion, based on the given graph, the statement that is most likely true is: The object’s velocity is increasing (option 2).