To find the average velocity in a velocity-time graph at a particular interval, simply determine the gradient at that particular interval.
a. average velocity= 4/1
= 4m/s
b. average velocity from 1 to 2.5s= 6/(2.5-1)
= 4m/s
average velocity from 2.5 to 4.0s= 0m/s
average velocity from 0 to 4.0s= (4+0)/4
= 1m/s
c. average velocity from 1.0 to 4.0s= (4/3)m/s
average velocity from 4.0 to 5.0s= 2/1
= 2.0m/s
average velocity from 1.0 to 5.0s= ((4/3)+2)/4
= (5/6)m/s
d. average velocity from 0 to 4.0s= 1.0m/s
average velocity from 4.0 to 5.0s= 2.0m/s
average velocity from 0 to 5.0s= (1.0+2.0)/5
= (3/5)m/s