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**1. Distance-time graph**

**Points to remember:**

**average speed = distance moved / time taken**- The
**slope**of the distance-time graph represents the average**speed**of travel. The steeper the graph, the faster the travel. - A horizontal line means the object is not moving.

Let's take a look at an example of a graph showing the distance moved by a toy car!

**Section A**: It took 20 seconds for the toy car to travel 1m. The average speed is 1m/20s=0.05m/s.**Section B**: The toy car stayed stationary for 10 seconds.**Section C**: It took 5 seconds for the toy car to travel 2m. The average speed is 2m/5s=0.4m/s.**Section D**: The toy car stayed stationary for 10 seconds.

The car traveled **fastest** during section **C**.

**2. Velocity-time graph**

**Points to remember:**

**acceleration = change in velocity / time taken**- The
**slope**of the velocity-time graph represents the**acceleration**. - The
**area**below the velocity-time graph is equal to the**distance**traveled.

Let’s take a look at an example of a graph showing the velocity of a car!

**Section A**: The car was stationary initially but accelerated to 20m/s for 10 seconds. The acceleration is (20m/s - 0m/s) / 10s = 2m/s^{2}.The distance travelled during section A is 0.5 x 10s x 20m/s = 100m.**Section B**: The car ran at a constant velocity of 20m/s for 20 seconds. There was no acceleration. The distance travelled during section B is 20s x 20m/s = 400m.**Section C**: The car decelerates gradually from 20m/s to a stop for 40 seconds. The acceleration is (0m/s - 20m/s) / 40s = -0.5m/s^{2}. The distance travelled during section C is 0.5 x 40s x 20m/s = 400m.