1. **Problem Statement:** Analyze the three distance-time graphs to determine which shows an object speeding up, slowing down, or traveling at constant speed. 2. **Understanding Distance-Time Graphs:** - The slope of a distance-time graph represents speed. - A straight line with constant slope means constant speed. - A curve with increasing slope means speeding up (acceleration). - A curve with decreasing slope means slowing down (deceleration). 3. **Analyzing Each Graph:** - Graph 1: Straight line from origin to max distance — slope is constant, so speed is constant. - Graph 2: Curve concave upward, slope increasing — object is speeding up. - Graph 3: Curve that rises then flattens, slope decreasing — object is slowing down. **Final answers:** - A. Speeding up: Graph 2 - B. Slowing down: Graph 3 - C. Traveling at constant speed: Graph 1