# Speed-Time Graphs

11SCI - Mechanics

2020

## 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