Math  /  Data & Statistics

QuestionPractice: Answer the following questions using the graphs
1. When time increases, what happens to the distance?
2. Describe the object's motion.
3. What is the velocity of the object?

Studdy Solution
Calculate the velocity of the object. The velocity is the slope of the position-time graph. To find the slope, use any two points on the line. For example, using points (2,4)(2, 4) and (4,8)(4, 8):
slope=ΔyΔx=8442=42=2meters per second \text{slope} = \frac{\Delta y}{\Delta x} = \frac{8 - 4}{4 - 2} = \frac{4}{2} = 2 \, \text{meters per second}
Solution:
1. When time increases, the distance increases linearly.
2. The object's motion is with a constant velocity, as indicated by the straight line on the position-time graph.
3. The velocity of the object is 2meters per second2 \, \text{meters per second}.

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