Pam is taking a train from the town of rome to the town of florence. rome is located 30 miles due west of the town of paris. florence is 25 miles east, and 45 miles north of rome. on her trip, how close does pam get to paris? (round your answer to three decimal places.)

Amachinist turns the power on to a grinding wheel, at rest, at time t = 0 s. the wheel accelerates uniformly for 10 s and reaches the operating angular velocity of 96 rad/s. the wheel is run at that angular velocity for 40 s and then power is shut off. the wheel slows down uniformly at 1.5 rad/s2 until the wheel stops. in this situation, the time interval of deceleration is closest to: