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
match it with the numbers on the graph

Explanation:

Step1: Recall slope - speed relationship

On a distance - time graph, the slope represents speed. A horizontal line has a slope of 0 (no movement). A steeper positive - sloped line indicates a faster speed, and a less steep positive - sloped line indicates a slower speed. A negative - sloped line means moving back towards the starting point.

Step2: Analyze each description

• A. Slower, constant speed: A line with a small positive slope. This matches the line labeled 2.
• B. No movement: A horizontal line. This matches the lines labeled 1, 3, 4, 7.
• C. Faster, constant speed: A line with a large positive slope. This matches the line labeled 6.
• D. Deceleration: A curve where the slope is decreasing. There is no such curve in the given graph.
• E. Constant speed returning to starting position: A line with a negative slope. This matches the line labeled 5.
• F. Acceleration: A curve where the slope is increasing. This matches the curve labeled 4 (it starts with a small slope and the slope increases).

Answer:

A. 2
B. 1, 3, 7
C. 6
D. None
E. 5
F. 4