The diagram shows the speed-time graph of a car. After 10 seconds, how far has the car travelled?
Question
The diagram shows the speed-time graph of a car.
After 10 seconds, how far has the car travelled?
Solution
To determine how far the car has traveled after 10 seconds using a speed-time graph, follow these steps:
1. Break Down the Problem
- Identify the area under the speed-time graph for the first 10 seconds.
- The distance traveled is equal to the area under the speed-time graph.
2. Relevant Concepts
- The area under a speed-time graph represents distance.
- For a graph with constant speed, the area can be calculated as the area of a rectangle or a trapezoid, depending on the shape of the graph.
3. Analysis and Detail
- If the speed is constant over the 10 seconds, calculate the area as:
- If the speed changes, split the area into geometric shapes. For example:
- Rectangles for constant speed.
- Triangles for speed increases or decreases.
4. Verify and Summarize
- Check calculations based on the shapes identified.
- Sum all areas for the total distance.
Final Answer
Without the actual graph, I cannot provide the numerical value. However, apply the steps above to calculate the distance based on the graph's characteristics, using appropriate geometric area formulas.
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