Final answer:
The position vs time graph for an object that is speeding up is typically a curved line that gets steeper over time, indicating an increase in velocity, not a straight line.
Step-by-step explanation:
The statement is false. The position vs time graph of an object that is speeding up will not be a straight line. Instead, the graph will typically be a curve that gets steeper as time goes on, representing an increase in velocity over time. If the object is moving with a constant acceleration, this graph will be a parabola. If the acceleration is not constant, the curve might look different but it still won't be a straight line. A straight line on a position vs time graph indicates a constant velocity, not an increasing one.