Math Problem Statement
11
1 point
Question at position 11
Using the graph above determine the displacement of the object between 2.0 s and 5.0 s.
Using the graph above determine the displacement of the object between 2.0 s and 5.0 s.
2.0 m
9.0 m
6.0 m
15 m
Solution
To determine the displacement of the object between 2.0 s and 5.0 s using the graph (assuming it is a velocity vs. time graph), you would calculate the area under the curve between 2.0 seconds and 5.0 seconds. Displacement in a velocity-time graph is given by the area under the curve for the specified time interval.
Without seeing the graph directly, here is the general process:
- Identify the shape: If the graph forms simple geometric shapes (such as rectangles, triangles, or trapezoids), calculate the area of those shapes between the times 2.0 s and 5.0 s.
- Calculate the area: The area corresponds to the displacement. For a constant velocity (rectangular area), the area is simply the height (velocity) times the base (time interval). For triangular or trapezoidal areas, use the appropriate area formulas.
- Sum the areas: Add the areas of all relevant shapes between 2.0 s and 5.0 s to get the total displacement.
If you have the actual graph or more details about its shape, I could guide you through the precise calculation. Based on the given choices, one of the options is likely the result of this area calculation.
If you have a photo of the graph, feel free to upload it, and I can assist further!
Would you like to upload the graph, or do you need further clarification?
Here are 5 related questions:
- How does the shape of a velocity-time graph affect the displacement calculation?
- What is the significance of the area under a curve in different types of graphs?
- How would negative velocity affect the displacement?
- How is the average velocity between two points related to the displacement?
- What happens to displacement when velocity is constant?
Tip: For velocity-time graphs, always focus on calculating the area between the curve and the time axis to determine displacement.
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Math Problem Analysis
Mathematical Concepts
Kinematics
Displacement
Velocity-Time Graphs
Formulas
Displacement = Area under velocity-time curve
Area of rectangle = base * height
Area of triangle = 0.5 * base * height
Theorems
Displacement from Velocity-Time Graph
Suitable Grade Level
Grades 9-12
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