Question

1. match the description with the distance vs. time graph. a. slower, constant speed b. no movement c. faster, constant speed d. deceleration e. constant speed returning to starting position f. acceleration

Explanation:

Step1: Analyze slope for speed

The slope of a distance - time graph represents speed. A flat line has a slope of 0, indicating no movement. A straight - line with a non - zero constant slope indicates constant speed. A steeper line indicates a faster speed.

Step2: Match descriptions

• A slower, constant speed is a straight line with a relatively small non - zero slope.
• No movement is a horizontal line (slope = 0).
• A faster, constant speed is a straight line with a relatively large non - zero slope.
• Deceleration is a curve where the slope is decreasing.
• Constant speed returning to starting position is a straight line with a negative slope.
• Acceleration is a curve where the slope is increasing.

Answer:

1. A. Slower, constant speed: A line with a small non - zero slope on the graph.
2. B. No movement: A horizontal line on the graph.
3. C. Faster, constant speed: A steeper non - horizontal line on the graph.
4. D. Deceleration: A curve where the slope is getting smaller.
5. E. Constant speed returning to starting position: A straight line with a negative slope.
6. F. Acceleration: A curve where the slope is getting larger.