The attached graph presents the motion of two joggers: Rachel and Kathy. The y-axis represents the distance traveled (in m), while the x-axis represents the time (in min). Since speed is related to distance traveled and time according to the following relation:
speed = distance traveled / time taken
we can use the given data to determine the speed (and hence the motion) of the two joggers.
Kathy travels uniformly and covers a distance of 1500 m in 10 min. This means that her speed during the jogging is 150 m/min (= 1500 m / 10 min). In comparison, Rachel starts jogging at t = 2 min and jogs uniformly for 600 m. She covers this distance in 5 min (= 7 - 2 min). Afterwards, she stops jogging and is at rest. This is the reason her graph is a horizontal line after t = 7 min. Since she does not cover any more distance at t = 9 min, her speed is 0 m/s and she is at rest.
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