Question

which statement describes the motion of bicyclist c?
her speed is constant.
her position is constant.
she stopped moving.
she returned to the start.

Explanation:

To determine the motion of bicyclist C, we analyze the distance - time graph. In a distance - time graph, the slope of the line represents the speed of the object.

• For the option "Her position is constant": If the position is constant, the graph would be a horizontal line (slope = 0), but the graph of C is a straight line with a non - zero slope, so this is incorrect.
• For the option "She stopped moving": A stopped object would have a horizontal line (constant position) in the distance - time graph. Since the graph of C is not horizontal, she is not stopped, so this is incorrect.
• For the option "She returned to the start": Returning to the start would mean that the distance from the start becomes 0 again at some point. The graph of C shows an increasing distance over time, so she does not return to the start, so this is incorrect.
• For the option "Her speed is constant": The graph of C is a straight line. In a distance - time graph, a straight line has a constant slope. Since slope represents speed, a constant slope means constant speed. So this option is correct.

Answer:

Her speed is constant.