Exploring Distance Time Graphs in Geometry

This video tutorial explains distance-time graphs using Sam's cycling journey as an example. It covers how to interpret different lines on the graph, calculate speed by measuring the gradient, and understand the relationship between speed and gradient. The video also discusses how curved lines indicate changes in speed, such as acceleration and deceleration. Viewers are encouraged to engage by liking, sharing, and commenting.

What does a straight line on a distance-time graph indicate?

• No movement

• Deceleration

• Acceleration

• Constant speed

What does a flat line on a distance-time graph represent?

• Acceleration

• Constant speed

• No movement

• Deceleration

How do you calculate speed from a distance-time graph?

• Multiply distance by time

• Divide time by distance

• Divide distance by time

• Add distance to time

What does the gradient of a line on a distance-time graph indicate?

• Direction of travel

• Time taken

• Speed

• Distance traveled

How can you find the speed at a specific point on a distance-time graph?

• By measuring the curve

• By drawing a horizontal line

• By determining the gradient at that point

• By calculating the area under the graph

If Sam travels 10 kilometers in 30 minutes, what is his speed?

• 20 km/h

• 10 km/h

• 15 km/h

• 30 km/h

What does a steeper gradient on a distance-time graph indicate?

• No movement

• Slower speed

• Constant speed

• Faster speed

What does a line in the negative direction on a distance-time graph indicate?

• Acceleration

• No movement

• Deceleration

• Return journey

What does a curved line on a distance-time graph show?

• Constant direction

• No movement

• Change in speed

• Constant speed

What action is encouraged at the end of the video?

• To share and like the video

• To draw a distance-time graph

• To calculate distance only

• To memorize the graph