(a) How do you determine an object's displacement from a velocity-versus-time graph?

(b) What distance does a car travel as its speed changes from 0 to \(20 \mathrm{~m} / \mathrm{s}\) in \(10 \mathrm{~s}\) at constant acceleration?

(c) The \(x\) component of the average velocity of a particle moving along the \(x\) axis at constant acceleration is \(v_{x, a v}=\frac{1}{2}\left(v_{x, i}+v_{x, t}\right)\). Is the \(x\) component of the average velocity also given by this expression when the acceleration is not constant? Use a velocity-versus-time graph to support your answer.