To find the velocity of the motorboat after 6 seconds of acceleration, you can use the formula for final velocity given constant acceleration:
\[ v = u + at \]
where:
- \( v \) = final velocity
- \( u \) = initial velocity (which is 0, since the boat starts from rest)
- \( a \) = acceleration (4 m/s²)
- \( t \) = time (6 seconds)
Substituting the values into the equation:
\[ v = 0 + (4 , \text{m/s}^2)(6 , \text{s}) \]
\[ v = 0 + 24 , \text{m/s} \]
\[ v = 24 , \text{m/s} \]
So, the motorboat will reach a velocity of 24 m/s after 6 seconds.