Equations of Motion

  • If the acceleration is constant, rectilinear motion can be calculated by the equations of motion (a.k.a. SUVAT equations)

\begin{array}{l}v=u+at\\s=ut+\frac{1}{2}a{{t}^{2}}\\{{v}^{2}}={{u}^{2}}+2as\end{array}

  • (click here for derivation)
  • Under uniform acceleration, velocity varies linearly with time so
    • v-t graphs are always straight lines.

suvatVT

  • Under uniform acceleration, displacement varies quadratically with time so
    • s-t graphs are always parabolic curves.

suvatST.gif

  • Under uniform acceleration, velocity has a square-root relationship with displacement so
    • v-s graphs are always square-root curves.

suvatVS.gif

 

 

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out /  Change )

Google photo

You are commenting using your Google account. Log Out /  Change )

Twitter picture

You are commenting using your Twitter account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )

Connecting to %s