Question

teks 7.7c, 7.1f
experience review

1. on a distance - time graph, what does a positive slope indicate?

a. the object has a negative velocity.
b. the object is moving fast.
c. the object is moving back to the starting point.
d. the object is moving away from the starting point.

1. sep identify circle the correct answers to complete the sentences below.

the slope of a line on a graph will be (positive / zero / negative) if the object is not moving away from or toward the starting point. when a distance - time graph has a (positive / zero / negative) slope, the object is moving (toward / away from) the starting point.

1. construct graphs the data table provides distances traveled by an object over time. sketch a distance - time graph beneath the table.

distance (m)	1	2	4	6	9	9
time (s)	1	2	3	4	5	6

Explanation:

1. In a distance - time graph, the slope represents velocity. A positive slope means distance is increasing with time, so the object is moving away from the starting point.
2. If an object is not moving away from or toward the starting point, its position is constant, and the slope of the line on the graph is zero. When the distance - time graph has a positive slope, the object is moving away from the starting point.
3. To sketch the graph, plot the points from the table (e.g., (1,1), (2,2), (3,4), (4,6), (5,9), (6,9)) and connect them with line segments. The graph will show an increasing trend until \(t = 5\) s and then be a horizontal line from \(t=5\) s to \(t = 6\) s.

Answer:

1. d. The object is moving away from the starting point.
2. zero; positive; away
3. (Sketching the graph is a visual task. Plot points (1,1), (2,2), (3,4), (4,6), (5,9), (6,9) and connect them. First, the line rises as time increases until \(t = 5\) s, and then it is horizontal from \(t = 5\) s to \(t=6\) s.)