A 310,00 GRT vessel needs to achieve a steady speed of 13 knots after exiting a canal. If
the speed of the vessel before exiting the canal is 3 knots, calculate the time (in minutes)
to reach the desired speed assuming that her acceleration is 0.08 knots per minute.
what is the distance in NM covered by the vessel during the acceleration from 3 knots to
13 knots
To find the time it takes for the vessel to reach a speed of 13 knots from 3 knots with an acceleration of 0.08 knots per minute, we can use the formula:
time = (final speed - initial speed) / acceleration
In this case, the initial speed is 3 knots, the final speed is 13 knots, and the acceleration is 0.08 knots per minute:
time = (13 knots - 3 knots) / 0.08 knots per minute
= 10 knots / 0.08 knots per minute
= 125 minutes
Therefore, it will take 125 minutes for the vessel to reach a speed of 13 knots.
To find the distance covered by the vessel during this acceleration, we can use the formula:
distance = initial speed * time + 0.5 * acceleration * time^2
In this case, the initial speed is 3 knots, the final speed is 13 knots, the acceleration is 0.08 knots per minute, and the time is 125 minutes:
distance = 3 knots * 125 minutes + 0.5 * 0.08 knots per minute * (125 minutes)^2
= 375 knots-minutes + 0.5 * 0.08 knots per minute * 15625 minutes^2
= 375 knots-minutes + 0.04 knots per minute * 244140625 minutes
= 375 knots-minutes + 9765625 knots-minutes
= 9766000 knots-minutes
Since we want the distance in nautical miles (NM) and 1 knot-minute is equal to 1 nautical mile, the distance covered by the vessel is also 9766000 NM.