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Average velocity = Total displacement/total time

Average velocity of any function with time f(t) between the time, t = p and time, t = q is the slope of the line which is travelled through the points p and q.

Therefore,

Average velocity = Δs/Δt

= [f(q) – f(p)]/(q - p)

f(t) = 2 + 3t + 2/3 t^2

Where

t = p = 1

t = q = 1.1

So that,

f(1) = 2 + 3(1) + 2/3 (1)^2 = 5.67 meters

f(1.1) = 2 + 3(1.1) + 2/3 (1.1)^2 = 6.11 meters

Now, we can use the equation

Average velocity = [f(1.1) – f(1)]/(1.1 – 1)

= (6.11 – 5.67)/0.1

= 4.4 m/s

f(t) = -8t^2 + 1248

Where

t = p = 2

t = q = 3

So that,

f(2) = -8(2)^2 + 1248 = 1216 meters

f(3) = -8(3)^2 + 1248 = 1176 meters

Now, we can use the equation

Average velocity = [f(3) – f(2)]/(3 – 2)

= (1176 – 1216)/1

= -40 m/s