a) Given that the speedboat increases its speed uniformly, then we can use the average speed to compute the time needed to travel a distance of 2.00x10² m.
the average speed is: (20 + 30)/2 = 25 m/s
By definition,
speed = distance/time
Substituting with speed = 25 m/s, and distance = 2.00x10² = 200 m, we get:
25 = 200/t
t = 200/25
t = 8 seconds
b) By definition,
[tex]\begin{gathered} \text{acceleration = }\frac{\text{ final speed -initial speed }}{time} \\ \text{acceleration =}\frac{30-20}{8} \\ \text{acceleration =}1.25\text{ }\frac{m}{s} \end{gathered}[/tex]