Remember that the average acceleration formula is:
[tex]a = \frac{v_2 -v_1}{t_2-t_1}[/tex]
We have:
[tex]V_2 = 4.12\ m/s\\\\V_1 = 0\ m/s[/tex]
[tex]t_2 - t_1 = 4.77\ m/s[/tex]
[tex]a = \frac{4.12-0}{4.77}[/tex]
[tex]a = 0.864\ m/s^2[/tex]
Now, The equation for the position of a body as a function of time is:
[tex]x(t) = V_0t + 0.5at^2 + x_0[/tex]
Where:
[tex]V_0[/tex] = initial velocity
[tex]x_0[/tex] = Initial position
[tex]x(4.77) = 0+ 0 + \frac{1}{2}(0.864)(4.77)^2[/tex]
[tex]x = 9.83\ m[/tex]
The ship has traveled 9.83 m
