Medium2 marksStructured
ForcesForcesGraphsDistance-Time GraphsSpeed

AQA GCSE · Question 05.4 · Forces

3500300025002000150010005000Distancein metres0500100015002000Time in secondsABC

Which section of Figure 9 shows the person walking the slowest? Give a reason for your answer.

How to approach this question

1. Understand that the gradient (steepness) of a distance-time graph represents speed. 2. A steeper line means a higher speed, and a shallower (less steep) line means a lower speed. 3. Compare the steepness of sections A, B, and C. 4. Select the section with the shallowest gradient and explain why.

Full Answer

Section B. The reason is that the gradient of the line is the shallowest/least steep in this section, and the gradient of a distance-time graph represents speed.
On a distance-time graph, the gradient of the line is equal to the speed. - A steep gradient means a large distance is covered in a short time, so the speed is high. - A shallow gradient means a small distance is covered in a long time, so the speed is low. - A horizontal line (zero gradient) means the distance is not changing, so the object is stationary (speed is zero). By comparing the sections: - Section A is quite steep. - Section B is much less steep (shallower) than A and C. - Section C is the steepest. Therefore, the person was walking slowest in section B because it has the shallowest gradient.

Common mistakes

✗ Choosing the steepest section (C), which represents the fastest speed.\n✗ Giving a reason that is not related to the gradient, e.g., "it's in the middle".

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