Final answer:
The statement about diverging approach restricting is false; it implies reducing speed for safety, not proceeding at a prescribed speed. Traffic signals do control vehicle speeds at intersections, and the position vs time graph for an accelerating object is not a straight line but a curve.
Step-by-step explanation:
Regarding the statement 'Diverging Approach Restricting: Proceed on a diverging route at the prescribed speed prepared to pass the next signal at a restricted speed.' it is false. A diverging approach restricting typically means to proceed cautiously on a diverging route and be prepared to stop at the next signal, which may not be at the prescribed speed but at a speed that allows for a safe stop. In terms of physics and motion, such a statement would not be applicable.
When it comes to vehicles and traffic signals, traffic signals are indeed designed to make vehicles slow down and to help control the speed at which they pass through intersections. This shows that without regulated signals, drivers may tend to ignore posted speed limits and proceed unsafely through intersections.
Furthermore, the statement that 'The position vs time graph of an object that is speeding up is a straight line' is false. When an object is speeding up, the position versus time graph should show a curve that gets steeper over time, reflecting the increasing speed or acceleration of the object.