Speed-Time Graphs

11SCI - Mechanics

Finn LeSueur


Mahi Tuatahi

Speed-Time Graphs

  • The gradient of a distance-time graph is the velocity
  • The gradient of a speed-time graph is the acceleration
  • The area under a speed-time graph is the distance travelled

Calculating Acceleration

\[\begin{aligned} a &= \frac{rise}{run} \\ a &= \frac{\Delta v}{\Delta t} \\ a &= \frac{v_{f} - v_{i}}{\Delta t} \end{aligned}\]

Finding the Distance

  • Calculate the area under the speed-time graph to find the distance travelled
  • Break it up into rectangles & triangles to calculate the area


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