Question

8.f.5 determine which of the following distance vs. time graphs match the situations given. type in the correct letter of each graph next to the description it matches. a. distance time b. distance time c. distance time d. distance time e. distance time? 1. an object moving away at a constant speed.? 2. an object moving closer at a constant speed.? 3. an object moving and increasing speed.? 4. an object at rest and not changing its distance (not moving).? 5. an object moving away and decreasing speed.

Explanation:

Step1: Analyze "moving away at constant speed"

Constant speed means a linear graph with positive slope (distance increases with time). Graph A has a straight line from origin with positive slope.

Step2: Analyze "moving closer at constant speed"

Constant speed, distance decreases with time (negative slope). Graph B has a straight line with negative slope.

Step3: Analyze "moving and increasing speed"

Increasing speed means the slope (speed) increases, so the graph curves upward (steeper over time). Graph D has an upward - curving line (slope increasing).

Step4: Analyze "object at rest"

Distance doesn't change with time, so a horizontal line. Graph C is horizontal.

Step5: Analyze "moving away and decreasing speed"

Decreasing speed means the slope (speed) decreases, so the graph curves upward but with decreasing steepness (flattens). Graph E has a curve that flattens (slope decreasing).

Answer:

1. A
2. B
3. D
4. C
5. E