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28 August, 21:58

Modern oil tankers weigh over a half-million tons and have lengths of up to a quarter of a mile. Such massive ships require a distance of 5.0 km (about 3.0 mi) and a time of 22 min to come to a stop from a top speed of 26 km/h. What is the magnitude of such a ship's average acceleration in m/s2 in coming to a stop? What is the magnitude of the ship's average velocity in m/s? Comment on the potential of a tanker running aground

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  1. 28 August, 22:37
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    Acceleration = (change in speed) / (time for the change)

    Change in speed = (0 - 26 km/hr) = - 26 km/hr

    (-26 km/hr) x (1,000 m/km) x (1 hr / 3,600 sec) = - 7.222 m/sec

    Average acceleration = (-7.222 m/s) / (22 min x 60sec/min) = - 0.00547 m/sec²

    Average speed during the stopping maneuver =

    (1/2) (start speed + end speed) = 13 km/hr = 3.6111 m/sec

    Chances of running aground:

    If he stays in the designated shipping lanes, he ought to be OK.
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