CSU The Area Under the Curve and A Constant Acceleration Discussion

I’m working on a calculus discussion question and need an explanation and answer to help me learn.

1. Find the area under the curve y^2=x-1 and the line y=x-3 attached image is relevant.

2.A vehicle is driving along a road. Its position function is given by a
function s(t), where s is measured in feet and t is measured in second;

Create a function based on this scenario

Draw a graph or figure to represent this situation,

Find instantaneous velocity of the vehicle in seconds