Question

walking the dog through the park

1. what interval(s) did the person stop?
2. compare intervals 1 and 2.
3. what happened from interval 3 to 4?
4. what happened at interval 7?
5. if you were getting a drink of water, which interval would you be at?

Explanation:

Step1: Analyze the velocity - time graph

In a velocity - time graph, when the velocity is \(v = 0\), the object is at rest.

Step2: Identify the intervals with \(v=0\)

Looking at the graph, the velocity is \(0\) in intervals \(5\).

Step3: Compare intervals \(1\) and \(2\)

In interval \(1\), the velocity is increasing at a slower rate compared to interval \(2\) (by observing the slope of the lines in the velocity - time graph. A steeper positive slope means a higher rate of increase in velocity).

Step4: Analyze interval \(3\) to \(4\)

In interval \(3\), the velocity is increasing (positive slope), and in interval \(4\), the velocity is decreasing (negative slope). So, from interval \(3\) to \(4\), the person first speeds up and then slows down.

Step5: Analyze interval \(7\)

In interval \(7\), the velocity is constant (horizontal line in the velocity - time graph). So, the person is walking at a constant speed.

Step6: Relate getting a drink of water to the graph

When getting a drink of water, the person is at rest (\(v = 0\)). So, it would be at interval \(5\).

Answer:

1. Interval \(5\)
2. In interval \(1\), velocity increases at a slower rate than in interval \(2\)
3. The person first speeds up (interval \(3\)) and then slows down (interval \(4\))
4. The person is walking at a constant speed
5. Interval \(5\)