Final answer:
The vessel's speed after 2.08 minutes with an average acceleration of 1.8 m/s² will be 224.64 meters per second, after converting the time from minutes to seconds and applying the acceleration formula.
Step-by-step explanation:
To calculate the vessel's speed after 2.08 minutes when it has an average acceleration of 1.8 m/s², we need to use the formula for acceleration, which is the change in velocity (speed) divided by time.
First, we need to convert 2.08 minutes into seconds, since the unit for acceleration is meters per second squared (m/s²). There are 60 seconds in one minute, so this gives us:
2.08 minutes × 60 seconds/minute = 124.8 seconds
Next, we use the formula for acceleration:
acceleration = change in velocity / time
By rearranging the formula to solve for the change in velocity (final speed), we have:
change in velocity = acceleration × time
We know the acceleration is 1.8 m/s² and the time is 124.8 seconds, so:
change in velocity = 1.8 m/s² × 124.8 s = 224.64 m/s
Therefore, the vessel's speed after 2.08 minutes will be 224.64 meters per second.