An object is at rest for the first 2 s

PHYSICS · Single correct · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

An object is at rest for the first 2 s, then moves with constant positive velocity for the next 3 s, and finally experiences uniform negative acceleration for 4 s until it stops. Which one of the following sequences correctly describes the qualitative shape of its position–time graph during these three stages (in the same order)? (a) straight horizontal line→straight line with positive slope→curve concave upward\text{straight horizontal line} \rightarrow \text{straight line with positive slope} \rightarrow \text{curve concave upward} (b) straight horizontal line→straight horizontal line→straight line with negative slope\text{straight horizontal line} \rightarrow \text{straight horizontal line} \rightarrow \text{straight line with negative slope} (c) straight horizontal line→straight line with positive slope→curve concave downward\text{straight horizontal line} \rightarrow \text{straight line with positive slope} \rightarrow \text{curve concave downward} (d) straight horizontal line→curve concave upward→straight line with positive slope\text{straight horizontal line} \rightarrow \text{curve concave upward} \rightarrow \text{straight line with positive slope}

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