Question

A displacement-time graph is curved and concave downward from t = 0 to t = 2 s. Which statement is true?

Q: Answer-A displacement-time graph is curved and concave downward from t = 0 to t = 2 s. Which statement is t...

The shape of the displacement-time graph reveals information about the nature of motion. If the graph is curved, the motion is non-uniform, and if it is concave downward, this indicates that the slope of the graph i.e., velocity is decreasing with time. A decreasing velocity corresponds to negative acceleration. Therefore, the correct interpretation is that the acceleration is negative during this time interval. Acceleration is negative Correct, as the graph is concave downward indicating decreasing velocity. Velocity is increasing Incorrect, since the slope is decreasing. Displacement is negative Incorrect, because the sign of displacement cannot be inferred from the shape alone. Motion is uniform Incorrect, as a curved graph implies non-uniform motion.