document.write( "Question 1205775: Modern oil tankers weigh over a half-million tons and have lengths of up to one-fourth mile. Such massive ships require a distance of 4.3 km (about 2.7 mi) and a time of 16 min to come to a stop from a top speed of 32 km/h.
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Algebra.Com's Answer #842804 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "Modern oil tankers weigh over a half-million tons and have lengths of up to one-fourth mile.
\n" ); document.write( "Such massive ships require a distance of 4.3 km (about 2.7 mi) and a time of 16 min
\n" ); document.write( "to come to a stop from a top speed of 32 km/h.
\n" ); document.write( "(a) What is the magnitude of such a ship's average acceleration in m/s2 in coming to a stop?
\n" ); document.write( "(b) What is the magnitude of the ship's average velocity in m/s?
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document.write( "(a)  This motion is uniform deceleration with constant deceleration.\r\n" );
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document.write( "     Let \"a\" be the value of the constant deceleration.\r\n" );
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document.write( "     From Physics (Mechanics and Kinematics), having given the initial speed of 32 km/h\r\n" );
document.write( "     and time 16 minutes to stop, we can calculate the average deceleration\r\n" );
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document.write( "         a =  =  = 2*60 = 120 km/h^2.\r\n" );
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document.write( "     Here the ratio  is the time of 16 minutes converted to hours.\r\n" );
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document.write( "     Converted to m/s^2, this value of 120 km/h^2 is  \r\n" );
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document.write( "          =  =  =  m/s^2 = 0.00926 m/s^2  (rounded).\r\n" );
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document.write( "     This value  0.00926 m/s^2 is the answer (average deceleration in m/s^2) for part (a).\r\n" );
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document.write( "(b)  The speed is linear function of time in this motion.\r\n" );
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document.write( "     The maximum value of the speed is 32 km/h; the minimum value is 0 km/h, when the ship stops.\r\n" );
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document.write( "     The magnitude of the ship's average velocity in km/h is   = 16 km/h,\r\n" );
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document.write( "     or   m/s =  m/s =  =  m/s = 4 m/s = 4.44444 m/s (rounded).\r\n" );
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document.write( "     This value  4 = 4.44444 m/s is the answer (ship's average speed in m/s) for part (b).\r\n" );
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