Final answer:
The correct answer is b. False, as the position vs time graph of an object that is speeding up will depict a curve, not a straight line, indicating the object is covering more distance over each successive time interval - a characteristic of acceleration.
Step-by-step explanation:
The question asks whether the position vs time graph of an object that is speeding up is a straight line. The correct answer to this is b. False. When an object is speeding up, its velocity is increasing over time, meaning the object is accelerating. As a result, the graph of position versus time for this object would not be a straight line; rather, it would be a curve that gets steeper as time progresses. This curvature indicates that the object is covering more distance in each successive time interval - a hallmark of increasing speed or acceleration.
In contrast, a straight line on a position vs time graph indicates constant velocity, meaning the object is moving at the same speed throughout the entire time period. In summary, the relationship between position and time for an accelerated motion is best represented by a curved line on a graph, which shows the continuous change in the object's velocity.