Final answer:
The position vs time graph of an object that is speeding up is not a straight line, but rather a curve indicating increasing velocity over time. A straight line would only represent a constant velocity, not acceleration.
Step-by-step explanation:
The student has asked whether the position vs time graph of an object that is speeding up is a straight line. The accurate answer is false. For an object that is speeding up, the correct representation on a position vs time graph would show a curve, where the slope of the curve increases with time. This is because the slope of a position vs time graph represents the velocity of the object, and when an object accelerates, its velocity changes over time, leading to a curved graph.
If the graph were a straight line, as described in the question, this would indicate that the velocity is constant over time, meaning there is no acceleration—a condition that does not apply when an object is speeding up. To visualize this concept, imagine a car moving on a flat road: if the car maintains a steady speed, the position vs time graph would indeed be straight, reflecting a constant velocity. However, if the car is accelerating, the graph would curve upwards as the car covers more distance in the same amount of time as it speeds up.