A spaceship ferrying workers to Moon Base I takes a straight-line path from the earth to the moon, a distance of 384,000km. Suppose the spaceship starts from rest and accelerates at 20.0 m/s^2 for the first 15.0 min of the trip, and then travels at constant speed until the last 15.0 min, when it slows down at a rate of 20.0 m/s^2 , just coming to rest as it reaches the moon.   (a) What fraction of the total distance is traveled at constant speed? (b) What total time is required for the trip?

Principles of Physics: A Calculus-Based Text
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A spaceship ferrying workers to Moon Base I takes a straight-line path from the earth to the moon, a distance of 384,000km. Suppose the spaceship starts from rest and accelerates at 20.0 m/s^2 for the first 15.0 min of the trip, and then travels at constant speed
until the last 15.0 min, when it slows down at a rate of 20.0 m/s^2 , just coming to rest as it reaches the moon.  

(a) What fraction of the total distance is traveled at constant speed? (b) What total time is required for the trip?

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