# Distance-Time Graphs

11SCI - Mechanics

Finn LeSueur

2020

## Distance-Time Graphs

- We can plot a graph with
**time on the x-axis** and **distance on the y-axis** to help us visualise data.
**Distance-time** graphs tell us about the velocity of the object!

## Interpreting Distance-Time Graphs

**Positive gradient**: Moving away
**Flat gradient**: Stationary
**Negative gradient**: Moving towards

## Interpreting Distance-Time Graphs

In pairs, **describe** the velocity of the object at A, B, C, D and E?

## Calculating Velocity From Graphs

\[\begin{aligned}
& v = \text{ gradient} \\
& v = \frac{rise}{run} \\
& v = \frac{\Delta d}{\Delta t} = \frac{d_{f} - d_{i}}{t_{f} - t_{i}}
\end{aligned}\]
## Question

In pairs, **calculate** the velocity of the object at A, B, C, D and E? *Make sure you show working.*

## Mahi Kāinga

Q2, Q3, Q1 |
Q5, Q6 |

Come show me! |
A5 tomorrow if you need help (or ask me in class) |

Those without mahi kāinga, A5 tomorrow lunch time to do it! |
**Answer all questions in your exercise book** |