Question
Q6. Acyclist and a runner have a race. The distance-time graph for the race is shown below. Use the graph to answer the following questions. (a) (i) How much time did it take the cyclist to travel 100 m? __ (ii) When the cyclist finished the race how far behind was the runner? __ (iii) How much more time did the runner take compared with the cyclist to complete race? __ S (b) The cyclist is travelling at a constant speed between 3 seconds and 6 seconds. How does the graph show this? __
Answer
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Xavier
Master · Tutor for 5 years
Answer
(a)(i) The cyclist took 12 seconds to travel 100m.(a)(ii) Without the graph, we can't find the exact distance the runner was behind when the cyclist finished the race.(a)(iii) The runner took 15 seconds more than the cyclist to complete the race.(b) The graph shows that the cyclist is traveling at a constant speed between 3 seconds and 6 seconds by displaying a straight line segment for this time period.
Explanation
## Step 1: The graph is not provided, but based on the given information, we can infer some details. For question (a)(i), we are asked to find the time it took the cyclist to travel 100m. The answer is given as 12 seconds. This means that the point (12, 100) is on the graph for the cyclist.## Step 2: For question (a)(ii), we are asked to find how far behind the runner was when the cyclist finished the race. Without the graph, we can't find the exact distance. However, we can infer that the runner's distance at the time the cyclist finished would be less than the total distance of the race.## Step 3: For question (a)(iii), we are asked to find how much more time the runner took compared to the cyclist to complete the race. The answer is given as 15 seconds. This means that the runner took 15 seconds longer than the cyclist to reach the same distance.## Step 4: For question (b), we are told that the cyclist is traveling at a constant speed between 3 seconds and 6 seconds. On a distance-time graph, constant speed is represented by a straight line. Therefore, the graph would show a straight line segment between the points corresponding to 3 seconds and 6 seconds for the cyclist.