Question

part 2 - graphing - distance vs time & speed vs time

1. the slope on a distance vs. time graph tells you an objects (velocity acceleration), and the slope on a velocity vs. time graph tells you the ( velocity, acceleration) of the object. circle one answer in each pair of parentheses!
2. 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: Recall slope - velocity relation

The slope of a distance - time graph represents velocity. A constant - speed motion is shown by a straight - line on the distance - time graph. A steeper line indicates a faster speed and a less steep line indicates a slower speed. No movement is represented by a horizontal line (slope = 0). Acceleration is shown by a curved line (changing slope) and deceleration is also shown by a curved line with a decreasing slope. Returning to the starting position means the distance decreases over time.

Step2: Analyze graph segments

1. Horizontal line: Represents no movement (B).
2. Less - steep straight line: Represents slower, constant speed (A).
3. Steeper straight line: Represents faster, constant speed (C).
4. Curved line with decreasing slope: Represents deceleration (D).
5. Curved line with increasing slope: Represents acceleration (F).
6. Straight line with negative slope: Represents constant speed returning to starting position (E).

Answer:

From bottom - left to top - right (assuming the graph is read in a typical left - to - right, bottom - to - top manner):

1. B. No movement
2. A. Slower, constant speed
3. C. Faster, constant speed
4. D. Deceleration
5. F. Acceleration
6. E. Constant speed returning to starting position