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Answer:
v1 = a t + v0 = 2.5 * 5 + 5 = 17.5 m/s after 5 sec
v2 = o * 6 + 17.5 = 17.5 m/s after 11 sec
S1 = V0 t + 1/2 a t^2 = 5 * 5 + 1.25 * 5^2 = 56.25 m
S2 = 17.5 * 6 = 105 m
S = 56.3 + 105 = 161 m
Vav = S / t = 161 m / 11 s = 14.6 m/s