13 An object is moving in a straight line, with constant acceleration \(a \mathrm {~m} \mathrm {~s} ^ { - 2 }\), over a time period of \(t\) seconds. It has an initial velocity \(u\) and final velocity \(v\) as shown in the graph below.
\includegraphics[max width=\textwidth, alt={}, center]{091aecd0-d812-4a8f-8596-a1c91f3bae1c-19_606_784_493_628} Use the graph to show that $$v = u + a t$$ \includegraphics[max width=\textwidth, alt={}, center]{091aecd0-d812-4a8f-8596-a1c91f3bae1c-21_2488_1728_219_141}