After t hours a freight train is  s(t) = 17t2 − 2t3  miles due north of its starting point  (for 0 ≤ t ≤ 9). (a) Find its velocity at time  t = 3 hours.   mi/hr (b) Find its velocity at time  t = 7 hours.  mi/hr (c) Find its acceleration at time  t = 1 hour.  mi

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 33CT
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After t hours a freight train is 

s(t) = 17t2 − 2t3

 miles due north of its starting point 

(for 0 ≤ t ≤ 9).
(a) Find its velocity at time 
t = 3 hours.

  mi/hr

(b) Find its velocity at time 
t = 7 hours.

 mi/hr

(c) Find its acceleration at time 
t = 1 hour.

 mi/hr2
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