In order to calculate the amount of time needed for the boat to speed up to 70 m/s, we can use the formula (EQUATIONS):
[tex]V=V_0+a\cdot t[/tex]
Where V is the final speed, V0 is the initial speed, a is the acceleration and t is the time.
(GIVEN) So, for V = 70, V0 = 0 and a = 6, we can calculate the value of t (UNKNOWN):
(SETUP):
[tex]\begin{gathered} 70=0+6\cdot t \\ 6t=70 \\ t=\frac{70}{6} \\ t=11.67\text{ s} \end{gathered}[/tex]
Therefore it will take 11.67 seconds (SOLVE).
