1. A purple line express car starts at Howard station at time 0, pointing north. Its velocity as a function of time (in hours) is given by v(t) = -6000t? + 1000£ miles per hour. (a) How far north does the train travel before turning around? (b) At what time does the train come back to Howard station? (c) If the train's fuel efficiency is 2 miles per gallon, how many gallons of fuel are consumed from t = 0 to t =1/2 hour?

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Chapter1: Units, Trigonometry. And Vectors
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1. A purple line express car starts at Howard station at time 0, pointing north. Its velocity
as a function of time (in hours) is given by
v(t) = -6000t? + 1000t
miles
per
hour.
(a) How far north does the train travel before turning around?
(b) At what time does the train come back to Howard station?
(c) If the train's fuel efficiency is 2 miles per gallon, how many gallons of fuel are
consumed from t = 0 to t =1/2 hour?
Transcribed Image Text:1. A purple line express car starts at Howard station at time 0, pointing north. Its velocity as a function of time (in hours) is given by v(t) = -6000t? + 1000t miles per hour. (a) How far north does the train travel before turning around? (b) At what time does the train come back to Howard station? (c) If the train's fuel efficiency is 2 miles per gallon, how many gallons of fuel are consumed from t = 0 to t =1/2 hour?
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