Final answer:
The claim that the position vs time graph of an object that is speeding up is a straight line is false. The correct representation of such an object is a curve that gets steeper, signifying an increase in velocity over time.
Step-by-step explanation:
The statement 'The position vs time graph of an object that is speeding up is a straight line' is false. When an object is speeding up, its position vs time graph will not be a straight line; rather, it will be a curve that gets steeper over time. This is because the slope of the position vs time graph represents the object's velocity, and if the object is speeding up, the velocity is increasing. A straight line would indicate a constant velocity, not an increasing one.
For an object accelerating in one direction, the position vs time graph is a parabola opening upward if the acceleration is positive, and downward if the acceleration is negative. If an object were moving at a constant speed, then a position vs time graph would indeed be a straight line, but that is not the case for an object that is speeding up.