Final answer:
The statement is false because an object that is speeding up will have a position vs time graph that curves steeper over time, reflecting an increasing velocity.
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, meaning that the position vs time graph will show a curve that gets steeper as time goes on. This is because the slope of the graph represents the object's velocity, and as the velocity increases, so does the slope of the curve on the graph.
The position vs time graph of an object that is speeding up is not a straight line. When an object is speeding up, its velocity is increasing. This means that the slope of the position vs time graph will be increasing. The graph will have a curved shape rather than a straight line.
For example, if you plot the position of a car over time as it accelerates, the graph will show that the position increases at an increasing rate. This is represented by a curve in the graph.