For a line on a graph to represent an object increasing its speed, the line must show
A) an increasingly steeper slope
B) a negative slope
C) a positive slope that is becoming more horizontal
D) a positive slope
increasingly steeper slope !
A) an increasingly steeper slope
To determine which option is correct, we need to understand the relationship between the slope of a line on a graph and the speed of an object.
In this case, we are considering the speed of an object, which is the rate at which it covers a distance. Speed is defined as the change in distance divided by the change in time:
Speed = Δdistance / Δtime
Now, let's look at each option:
A) An increasingly steeper slope:
If the slope of the line on the graph becomes increasingly steeper, it means that the object is covering more distance in less time. This would correspond to an increase in speed. So, option A is a possible answer.
B) A negative slope:
A negative slope on a graph indicates a decrease in the values of the variables being plotted. In this case, it would mean that the object is moving in the opposite direction or slowing down rather than increasing its speed. Therefore, option B is not correct.
C) A positive slope that is becoming more horizontal:
If the slope of the line starts off positive (indicating an increase in speed) but becomes more horizontal, it means that the object is covering less distance over time. This would correspond to a decrease in speed, not an increase. So, option C is not correct.
D) A positive slope:
A positive slope on a graph represents an increase in the values of the variables being plotted. In this case, it would mean that the distance is increasing with respect to time, indicating an increase in speed. Therefore, option D is a possible answer.
Based on the explanations provided, options A and D are the possible correct answers. However, without further information or context, it is difficult to definitively determine which option is the correct one.
We'll be glad to check your answer.
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