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Hi aheumangutman, thanks for the question. The idea that she eventually hits a constant speed has to be interpreted. You're quite right that the question doesn't say this explicitly. Eventual constant speed is a good interpretation since, if she only accelerated at $0.2 \textrm{ m/s}^2$, she would end up finishing the 10,000m before 30 min. The period of constant speed is needed to basically slow her down to extend her running time to the full 30min, which is her intended finish time.