Question

study the position - time graph for a bicycle. which statement is supported by the graph? the bicycle has speed but not velocity. the bicycle is moving at a constant velocity. the bicycle has a displacement of 3 m. the bicycle is not in motion.

Explanation:

Step1: Analyze position - time graph

In a position - time graph, if the position does not change with time, the object is at rest. Here, the position of the bicycle remains constant (at 3 m) as time progresses from 0 s to 5 s.

Step2: Evaluate each option

• Speed is the magnitude of velocity. If an object is not moving, it has neither speed nor velocity, so the first option is incorrect.
• For a constant - velocity motion, the position - time graph is a straight - line with a non - zero slope. Since the graph here is a horizontal line, the second option is incorrect.
• Displacement is the change in position. The initial and final positions are the same (3 m), so the displacement is 0 m, not 3 m, so the third option is incorrect.
• Since the position of the bicycle does not change with time, the bicycle is not in motion, and the fourth option is correct.

Answer:

The bicycle is not in motion.