Answer:
a = 0.0761 [m/s^2]
Explanation:
This problem can be solved using kinematics equations, and by means of the following equation:
[tex]x=x_{0} +v_{0}*t-(\frac{1}{2} ) *a*t^{2}[/tex]
where:
Xo = initial location = 0
x = final location = 255 [m]
Vo = initial velocity = 6.23 [m/s]
t = time = 82 [s]
a = aceleration [m/s^2]
Since the ship slows down to rest, the last expression of the equation will be taken with a negative sign
255 = 0 + (6.23*82) - (0.5*a*82^2)
255 - (6.23*82) = - 3362*a
a = 0.0761 [m/s^2]