Final answer:
The statement that an object with a steady velocity change in a straight line undergoes constant acceleration is true. This corresponds to a straight line on a velocity versus time graph and a curved line on a displacement versus time graph.
Step-by-step explanation:
If an object experiences a steady velocity change in a straight line, it is undergoing constant acceleration. This statement is True. Acceleration is defined as the rate of change of velocity. If velocity changes at a constant rate, this means that the object is accelerating constantly.
For motion at constant acceleration, the velocity changes every second by the same amount, which implies there is a linear relationship between velocity and time. The velocity versus time graph for this motion would be a straight line with a slope that indicates the rate of acceleration. Hence, a position versus time graph would instead be a curved line since the position is changing at an increasing rate due to constant acceleration. In contrast, for the position versus time squared graph to be a straight line, it means that the displacement is proportional to the square of the time, which is characteristic of uniformly accelerated motion.