Martin took part in a 60 metre race - Junior Cycle Mathematics - Question 9 - 2011
Question 9
Martin took part in a 60 metre race.
The graph below shows the distance in metres travelled by Martin after $t$ seconds during the race. The graph is in three secti... show full transcript
Worked Solution & Example Answer:Martin took part in a 60 metre race - Junior Cycle Mathematics - Question 9 - 2011
Step 1
How many seconds did it take Martin to finish the race?
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Answer
From the graph, Martin finished the race at 20 seconds.
Step 2
What distance had Martin travelled after 16 seconds?
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Answer
According to the graph, after 16 seconds Martin had travelled 40 metres.
Step 3
Which was Martin’s slowest section of the race?
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Answer
Martin's slowest section of the race is section A, as it has the least slope.
Step 4
Find Martin’s speed during his slowest section of the race, in metres per second.
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Answer
To find the speed during section A, use the formula:
ext{Speed} = rac{ ext{Distance}}{ ext{Time}}
From the graph, in section A, Martin travelled 10 metres in 5 seconds. Thus,
ext{Speed} = rac{10}{5} = 2 ext{ m/s}.
Step 5
Write down the radius of this wheel.
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