A cyclist is travelling along a straight, level road - Scottish Highers Physics - Question 1 - 2023
Question 1
A cyclist is travelling along a straight, level road.
A velocity-time (v-t) graph of the motion of the cyclist is shown.
Which pair of displacement-time (s-t) and a... show full transcript
Worked Solution & Example Answer:A cyclist is travelling along a straight, level road - Scottish Highers Physics - Question 1 - 2023
Step 1
Identify the Characteristics of the Velocity-Time Graph
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Answer
The velocity-time graph shows an increase in velocity over time, indicating that the cyclist is accelerating. The slope of the graph represents acceleration, which is positive.
Step 2
Analyze the Displacement-Time Graph Options
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Answer
Given that the cyclist is accelerating, the displacement-time graph should curve upwards, indicating increasing displacement over time at an increasing rate. For this reason, only option A with a concave-up shape is valid.
Step 3
Analyze the Acceleration-Time Graph Options
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Answer
Since the cyclist is continuously accelerating, the corresponding acceleration-time graph must be a horizontal line above the time axis, indicating constant positive acceleration. Option A correctly represents this.
Step 4
Select the Correct Pair of Graphs
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Answer
The correct answer that represents the motion of the cyclist is option A, as it shows an upward displacement graph with constant positive acceleration.
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