Final answer:
The statement is false; a position vs time graph for an object that is speeding up will not be a straight line but a curved one, indicating increasing velocity over time.
Step-by-step explanation:
When considering a position vs time graph of an object that is speeding up, the representation is not a straight line. This is because as the object speeds up, the rate of change of its position increases over time. Therefore, the correct answer is:
- False: The position vs time graph of an object that is speeding up is a straight line.
For a constant acceleration, the position vs time graph will be a curved line (parabolic in shape), becoming steeper as time progresses, indicating increasing velocity. Whereas the plot of displacement versus time squared for an object moving with constant acceleration will indeed be a straight line due to the quadratic relationship between displacement and time when acceleration is constant.