Terms

Relationships

• gradient of graph of displacement against time is velocity
• gradient of graph of velocity against time is acceleration
• area under graph of velocity against time is displacement
• area under graph of acceleration against time is change in velocity

Equations

$$\begin{align*} v &= u + at \\ s &= \frac{1}{2}(u + v)t \\ v^2 &= u^2 + 2as \\ s &= ut + \frac{1}{2}at^2 \\ s &= vt - \frac{1}{2}at^2 \\ &\hspace{-5em} \begin{array}{l} \text{\textbf{where}} \\ \quad \begin{array}{rl} v & \text{final velocity in metres per second ($m/s$)} \\ u & \text{initial velocity in metres per second ($m/s$)} \\ a & \text{acceleration in metres per second squared ($m/s^2$)} \\ t & \text{time taken in seconds ($s$)} \\ s & \text{displacement in metres ($m$)} \end{array} \end{array} \end{align*}$$ $$\begin{array}{c} \begin{aligned} p &= m\cdot v \end{aligned} \\ \hspace{-9em}\textbf{where} \\ \begin{array}{rl} p & \text{momentum in $N\cdot s$} \\ m & \text{mass in kg} \\ v & \text{velocity in $\text{m}/\text{s}$} \end{array} \end{array}$$