Final answer:
The statements pertain to representations of motion on graphs, stating that a position vs. time graph for an accelerating object is not a straight line, average speed could differ from average velocity, and a displacement vs. time squared graph for constant acceleration is straight.
Step-by-step explanation:
The question pertains to the graphical representation of motion in physics. Specifically, it asks whether certain statements regarding graphs of motion are true or false.
- False: The position vs. time graph of an object that is speeding up is not a straight line, because as the speed increases, the slope of the graph (which represents velocity) should also increase, resulting in a curved line.
- False: The average speed of the ball could be less or more than the average velocity of the ball; it depends on the specific motion. If the ball changes direction, average velocity can be less due to displacement being vector quantity.
- True: When an object moves with constant acceleration, its displacement vs. time graph is a curved line because the displacement is changing at an increasing rate. However, if we plot displacement vs. time squared, the graph is a straight line since the relationship is quadratic in nature, and time squared gives a linear relationship.
Understanding these concepts helps in accurately predicting motion and analyzing movement using graphical models.