Kinematics summary

Key learning points

• SUVAT applies only for constant acceleration in a straight line.
• $v=\frac{dx}{dt}$, $a=\frac{dv}{dt}$; also $a=v\frac{dv}{dx}$.
• Displacement is signed; distance is not.
• On a speed–time graph, area represents distance travelled.

Worked example 1 — SUVAT

From rest with $a=2\,\mathrm{m\,s^{-2}}$ for $5\,\mathrm{s}$. Final speed?

Working

Use $v=u+at$ with $u=0$.

Worked example 2 — SUVAT applies only for constant acceleration in a strai

Use this method from the Kinematics sheet: SUVAT applies only for constant acceleration in a straight line.

Working

Each key learning point matches a question type on the printable worksheet.

Worked example 3 — , ; also

Use this method from the Kinematics sheet: $v=\frac{dx}{dt}$, $a=\frac{dv}{dt}$; also $a=v\frac{dv}{dx}$.

Working

Each key learning point matches a question type on the printable worksheet.

Worked example 4 — Displacement is signed; distance is not

Use this method from the Kinematics sheet: Displacement is signed; distance is not.

Working

Each key learning point matches a question type on the printable worksheet.

Worked example 5 — On a speed–time graph, area represents distance travell

Use this method from the Kinematics sheet: On a speed–time graph, area represents distance travelled.

Working

Each key learning point matches a question type on the printable worksheet.

Scaffolded Learning Sheet and answers (PDFs)

This page is a short, searchable overview for revision and search engines. Use the Scaffolded Learning Sheet first, then the Answers PDF for a full written solution. The printable PDFs remain the main classroom resource.