The position function wit} 2 t3 35f gives the position in miles of a freight train where east is the positive direaction and t :3 l] is measured in hours. a. The train has position 3(t) = l] at two different times, t1 and t2. |f t1 = l], find t2. b. Calculate the train's velocity at 1 = I]. van = :1 c. At t1 = l], the train is moving 0 west because velocity at that time is positive. 0 east because velocity at that time is positive. 0 east because velocity at that time is negative. 0 west because velocity at that time is negative. d. Calculate the train's velocity at t3. 1%) = :1 e. On what time interval is the train moving east? Write your answer in interval notation. Train is moving east on :] f. On what time interval is the train moving west? 1*."'"rite your answer in interval notation. Train is moving west on C]