To find the acceleration of the boat, we can use the formula for acceleration:
\[ a = \frac{\Delta v}{\Delta t} \]
where:
- \( a \) is the acceleration,
- \( \Delta v \) is the change in velocity,
- \( \Delta t \) is the change in time.
In this case:
- The initial velocity \( v_0 = 0 \) m/s (the boat starts from rest),
- The final velocity \( v = 24 \) m/s,
- The time interval \( \Delta t = 6.0 \) seconds.
We can find the change in velocity \( \Delta v \):
\[ \Delta v = v - v_0 = 24 , \text{m/s} - 0 , \text{m/s} = 24 , \text{m/s} \]
Now, we can substitute these values into the acceleration formula:
\[ a = \frac{24 , \text{m/s}}{6.0 , \text{s}} = 4 , \text{m/s}^2 \]
So the acceleration of the boat is \( 4 , \text{m/s}^2 \).