Final answer:
The statement concerning the position vs time graph for an object speeding up being a straight line is false; the correct representation is a curve that steepens 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 velocity is increasing over time, which would be represented on a position versus time graph as a curve that gets steeper as time progresses. The correct statement is: 'The position vs time graph of an object that is speeding up is a curve that gets steeper over time'.