Question

motion graph analysis
name
per
a
b
c
descriptions of motion

1. acceleration
2. constant speed (high rate of speed)
3. constant speed (low rate of speed)
4. negative acceleration (deceleration)
5. no motion (stopped)
6. moving backwards (constant velocity in reverse)

graph a matches description __ because __
graph b matches description __ because __
graph c matches description __ because __
graph d matches description __ because __
graph e matches description __ because __
graph f matches description __ because __

Explanation:

Graph A

Step1: Analyze the graph

In a distance - time graph, if the distance does not change with time (horizontal line), there is no motion.

Graph B

Step1: Analyze the graph

The slope of a distance - time graph represents speed. A steep straight - line slope (constant positive slope) indicates a high constant speed.

Graph C

Step1: Analyze the graph

A straight - line slope that is decreasing (negative slope) in a distance - time graph represents negative acceleration (deceleration) as the rate of change of distance (speed) is decreasing.

Graph D

Step1: Analyze the graph

The slope of the distance - time graph is increasing. Since the slope of a distance - time graph is speed, an increasing slope means increasing speed, which is acceleration.

Graph E

Step1: Analyze the graph

This is not a valid motion graph for the given descriptions. If we assume it's a mis - drawn or mis - labeled graph (not matching the 6 given motion descriptions), we can skip for the sake of the 6 - description - 6 - graph match. But if we consider the general motion concepts, it does not match the 6 simple motion types (constant speed, acceleration, etc.) as its slope is changing in a non - linear non - constant rate (not just increasing or decreasing at a constant rate like acceleration or deceleration)

Graph F

Step1: Analyze the graph

A straight - line positive slope (but a gentle one) in a distance - time graph. Since slope = speed, a constant gentle slope means a low constant speed.

Answer:

• Graph A matches description 5 because the distance does not change with time (horizontal line in distance - time graph means no motion).
• Graph B matches description 2 because it has a steep constant positive slope (slope of distance - time graph is speed, steep slope means high speed).
• Graph C matches description 4 because it has a decreasing slope (negative slope in distance - time graph implies negative acceleration or deceleration).
• Graph D matches description 1 because its slope is increasing (slope of distance - time graph is speed, increasing slope means increasing speed = acceleration).
• Graph F matches description 3 because it has a constant positive but gentle slope (slope of distance - time graph is speed, gentle slope means low speed).