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The students in a PE class are doing a fitness test - Junior Cycle Mathematics - Question 8 - 2014
Question 8
The students in a PE class are doing a fitness test. Each student runs from the baseline of the gym to the halfway line of the gym, and back again. This is called a ... show full transcript
Worked Solution & Example Answer:The students in a PE class are doing a fitness test - Junior Cycle Mathematics - Question 8 - 2014
Step 1
Step 2
From the graph, how far is the baseline of the gym from the halfway line of the gym?
Answer
The graph indicates that the maximum height achieved is 30 meters. Since this distance represents the halfway line of the gym, we deduce that the baseline of the gym is 30 meters from the halfway line.
Step 3
For her second lap, Miriam increases her average speed to 5 metres per second.
Answer
To plot Miriam's distance for the second lap with her new speed of 5 meters per second, we first need to calculate the time taken for this lap. Since she covers 30 meters in the first 12 seconds of the first lap, we will use the average speed formula:
Time = Distance / Speed.
Thus, for the second lap:
Time = 30 m / 5 m/s = 6 seconds.
To plot this on the graph:
- From second 14 to second 20, Miriam moves from 0 meters back to the halfway line.
Continue this pattern on the graph to reflect her distance from the baseline throughout the second lap.