Physics - Kinematics Question with Solution | TestHub

In the rising part of the velocity-position graph, the slope is tan 45°.

$$\frac{dv}{dx}=1{\mathrm{s}}^{-1}$$

At x = 7 m, the graph gives v = 7 m/s.

$$a=v\frac{dv}{dx}=(7)(1)=7m/{\mathrm{s}}^2$$