The acceleration of a boat that changes speed from 223 m/s to 343 m/s in 16 seconds is found to be 7.5 m/s² by subtracting the initial velocity from the final velocity and then dividing by the time interval.
The acceleration of a boat that takes 16 seconds to change from a speed of 223 m/s to 343 m/s can be calculated using the formula for acceleration:
Acceleration (a) = \(\frac{{Vf - Vi}}{{t}}\), where Vf is the final velocity, Vi is the initial velocity, and t is the time taken for the change in velocity.
In this case, Vf = 343 m/s, Vi = 223 m/s, and t = 16 s. Plugging the values into the formula:
Acceleration (a) = \(\frac{{343 m/s - 223 m/s}}{{16 s}}\)
Acceleration (a) = \(\frac{{120 m/s}}{{16 s}}\)
Acceleration (a) = 7.5 m/s².
Thus, the acceleration of the boat is 7.5 m/s².