# Speed-Time Graphs

11SCI - Mechanics

Finn LeSueur

2020

## 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

## Questions

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