AS Mathematics₇₃₅₆

Understand and use the language of kinematics: position; displacement; distance travelled; velocity; speed; acceleration.

Understand, use and interpret graphs in kinematics for motion in a straight line: displacement against time and interpretation of gradient; velocity against time and interpretation of gradient and area under the graph.

Understand, use and derive the formulae for constant acceleration for motion in a straight line.

Use calculus in kinematics for motion in a straight line:

$\mathit{v}\mathsf{=}\mathit{}\frac{\mathrm{d}\mathit{r}}{\mathrm{d}\mathit{t}}\mathit{}\mathsf{,}\mathit{}\mathit{a}\mathsf{=}\mathit{}\frac{\mathrm{d}\mathit{v}}{\mathrm{d}\mathit{t}}\mathsf{=}\frac{{\mathrm{d}}^{\mathsf{2}}\mathit{r}}{{\mathrm{d}\mathit{t}}^{\mathsf{2}}}$ , $\mathit{r}\mathsf{=}\mathit{}\mathsf{\int }\mathit{v}\begin{array}{cc}& \\ & \end{array}\mathrm{d}\mathit{t}$ , $\mathit{v}\mathsf{=}\mathit{}\mathsf{\int }\mathit{a}\begin{array}{cc}& \\ & \end{array}\mathrm{d}\mathit{t}$ .