Question

Show by means of a graphical method that: v = u + at where the symbols have their usual meanings.

Answer 1

Let's suppose 'u' is the initial velocity of a body and 'v' is the final velocity of a body after time interval 't'. As you can see in the figure given below.

Then, acceleration 'a' of the body can be written as,

a = Slope of the velocity-time graph

$$\begin{gathered} \therefore a=\frac{v-u}{t-0} \\ \Rightarrow at=v-u \\ \Rightarrow v=u+at(1\mathrm{st}\mathrm{equation}\mathrm{of}\mathrm{motion}) \end{gathered}$$