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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?

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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

  1. Identify the area under the speed-time graph for the first 10 seconds.
  2. 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: Distance=Speed×Time \text{Distance} = \text{Speed} \times \text{Time}
  • 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.

This problem has been solved

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