A high-speed bullet train accelerates at the rate of 4 ft/s2. Its maximum cruising speed is 120mi/h. What is the maximum distance travelled in miles if the train constantly accelerates from rest then cruises for 15 minutes?
The cruising speed is 120mi/h
There are 5280 ft in a mile and 3600 seconds in an hour so this is
120*5280/3600 = 176 ft/s
In the acceleration phase, the distance in ft after t seconds is given by
`d = 4/2t^2 = 2t^2`
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