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question 10 (4 points) (01.07 mc) every time the world gathers for the olympic games, new records in track and field events are recorded. in 2021, jakob ingebrigtsen established a new olympic record when he ran the 1,500 meters in 3 minutes 28.53 seconds. what was his average speed (in m/s) for the race? remember to include your data, equation, and work when solving this problem.
Step1: Convert time to seconds
First, we convert the time from minutes and seconds to just seconds. We know that 1 minute is 60 seconds, so 3 minutes is \( 3\times60 = 180 \) seconds. Then we add the remaining 28.53 seconds. So the total time \( t \) is \( 180 + 28.53 = 208.53 \) seconds.
Step2: Use the average speed formula
The formula for average speed \( v \) is \( v=\frac{d}{t} \), where \( d \) is the distance and \( t \) is the time. The distance \( d \) is 1500 meters and the time \( t \) we found is 208.53 seconds. So we substitute these values into the formula: \( v = \frac{1500}{208.53} \).
Step3: Calculate the average speed
Now we calculate \( \frac{1500}{208.53}\approx7.19 \) m/s.
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The average speed is approximately \( 7.19 \) m/s.