Equations Of Motion

Graphs

• The main equations can be related to graphs.
• When given a graph, look at the axis and determine the things being measured, i.e velocity with respect to time.
• The gradients of graphs are useful at determining average/values at a point in time
  • Area under the curve is like the other way. i.e area under curve of acceleration = velocity.
• Average vs instantaneous velocity
  • Average over curve
  • Instantaneous - use tangents.

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Equations

• $V=\frac{s}{t}$; however, this is average, so you should write $V_{av}= \frac{s}{t}$

• $v=u+at$

• $s=ut+\frac{1}{2}at^2$

• $v^2=u^2+2as$

• $R=u_{H}t$ where $r$ is range.

• Where,
  | Measure | Symbol |
  | ----------------- | ------ |
  | Displacement | $s$ |
  | Intitial Velocity | $u$ |
  | Final Velocity | $v$ |
  | Acceleration | $a$ |
  | Time | $t$ |