Final answer:
The graph shape indicates a nonlinear, specifically quadratic, relationship between distance and displacement when an object is traveling at constant acceleration, as the displacement versus time graph is a curved line.Option C is the correct answer.
Step-by-step explanation:
The shapes of the graphs in Question 3 suggest a nonlinear relationship between distance and displacement for an object traveling at constant acceleration. In physics, when an object travels at constant acceleration, the displacement versus time graph is a curved line, indicating a quadratic relationship.
This is because the displacement (x) can be represented by the equation x = x0 + v0t + ½at2, where x0 is the initial displacement, v0 is the initial velocity, a is the acceleration, and t is the time. Since time (t) is squared in this equation, the relationship between distance and time is quadratic, which is a type of nonlinear relationship. An important aspect of graphs in physics is to identify graphs of motion. A linear graph would represent a constant velocity, while a quadratic graph implies a constant acceleration. The True or False statement correctly indicates that the plot of displacement versus time squared for an object moving at a constant acceleration is a straight line.