Acceleration = 2.0 m/s^2
Distance = 114 m
The acceleration is the difference in velocity divided by the time. So
A = Initial velocity
B = Final velocity
T = Time
(B - A)/T
(25 m/s - 13 m/s) / 6.0s = (12 m/s) / 6.0 s = 2.0 m/s^2
Now distance is original speed multiplied by time plus half acceleration multiplied by time squared, giving
D = 13 * T + 0.5 A T^2
D = 13 * 6 + 0.5 * 2 * 6^2
D = 13 * 6 + 1 * 36
D = 78 + 36
D = 114
