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When Marshall takes his pet dog for a walk, the dog walks at a very consistent pace of 0.55 m/s. Draw a motion diagram and position time graph to represent Marshall's dog walking the 19.8-m distance from in of his house to the nearest stop sign.

User Excray
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2 Answers

3 votes

Final answer:

To represent Marshall's dog walking to the stop sign, a motion diagram would show equally spaced images along a path, indicating constant velocity. A position-time graph would depict a straight line with a positive slope starting from the origin to the point (36, 19.8), reflecting the consistent pace of 0.55 m/s over a distance of 19.8 meters.

Step-by-step explanation:

The student has asked to represent Marshall's dog's walk to the stop sign using a motion diagram and a position-time graph. The dog walks with a consistent pace of 0.55 m/s and needs to cover a distance of 19.8 meters.

A motion diagram would show a series of images of the dog at different positions along his walk, with equal time intervals between each position. Each position could be marked along a straight line path with each successive position to the right of the previous one, indicating a motion toward the stop sign.

A position-time graph, on the other hand, would have time on the horizontal axis and position on the vertical axis. The graph would show a straight line starting at the origin (0, 0), since we can assume Marshall's house as the reference point, and the line would have a positive slope. The slope of the line equals the dog's walking speed. Considering the consistent pace, the slope will be constant. The line would end at the point (36, 19.8), indicating it takes approximately 36 seconds to walk 19.8 m at a pace of 0.55 m/s.

User Hanish Sharma
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3 votes

Step-by-step explanation:

Given that,

Speed of the dog is 0.55 m/s and it is constant.

We need to draw position-time graph to represent Marshall's dog walking the 19.8-m distance from in of his house to the nearest stop sign.

We can find time using definition of speed.


t=(d)/(v)\\\\t=(19.8\ m)/(0.55\ m/s)\\\\t=36\ s

The attached figure shows the position-time graph of Marshall's dog.

When Marshall takes his pet dog for a walk, the dog walks at a very consistent pace-example-1
User Manish Goswami
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