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on a distance-time graph, we can determine the speed of an object by the __ area under the graph y-value at the maximum point on the

Question

On a DISTANCE-TIME graph, we can determine the SPEED of an object by the __ AREA under the graph Y-VALUE at the MAXIMUM point on the graph GRADIENT of the line X-VALUE at the MAXIMUM point on the graph

Answer

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Isabella Professional · Tutor for 6 years

Answer

### GRADIENT of the line

Explanation

## Step 1: Understand the Graph### In a distance-time graph, the distance is plotted on the Y-axis and time on the X-axis. The graph's gradient (or slope) provides information about the speed of the object.## Step 2: Define the Gradient### The gradient of a graph is calculated as the change in the Y-axis value (distance) divided by the change in the X-axis value (time). This is essentially the formula for speed.### **Speed = \frac{Distance}{Time}**## Step 3: Identify the Correct Option### The gradient of the line on a distance-time graph indicates the speed of the object. The other options (area under the graph, Y-value at the maximum point, X-value at the maximum point) do not provide information about the speed.#