I was having a bit of trouble with this question.
For a) I found -3/1/3 for the displacement be evaluating the definite integral.
For b) I found 32/2/3 to be the distance travelled using the fact the below 4 the curve is negative and above 4 the curve is positive.
I would be great if some else could do these to and see if they get similar answers as I'm not sure what answers to expect.
For c) using the Mean Value Theorem f ave=1/b-a integral b a f(x) dx, I found the average velocity to be -6 but I'm not sure if I used the correct a and b values. I made a=1 and b=4 (as this is were the curve cuts the x axis)
If someone could show me how to do this it would be a great help.