Inside Maths: Distance/Time Graphs

The video tutorial introduces the concept of distance/time graphs through a fitness challenge. It explains how to interpret these graphs, focusing on axes labeling and speed calculation. The tutorial uses race data to demonstrate graph analysis, comparing performances of participants like Izzy, Dave, and Phil. Key takeaways include understanding graph steepness, flat lines, and using tangents for speed determination.

What does the x-axis typically represent in a distance/time graph?

• Acceleration

• Time in seconds

• Distance in meters

• Speed in meters per second

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

• Subtract time from distance

• Divide distance by time

• Multiply distance by time

• Add distance and time

What does a flat horizontal line on a distance/time graph indicate?

• No movement

• Decreasing speed

• Increasing speed

• Constant speed

During the running challenge, what was Izzy's average speed between 15 and 33 seconds?

• 4 meters per second

• 5 meters per second

• 7 meters per second

• 6 meters per second

In the running challenge, how did Dave's performance compare to Izzy's?

• Dave was faster initially but slower later

• Dave and Izzy had the same speed

• Dave was slower throughout

• Dave was faster throughout

What is the significance of a steeper line on a distance/time graph?

• The object is moving faster

• The object is stationary

• The object is moving slower

• The object is moving at a constant speed

How can you determine the speed at a specific point on a curved distance/time graph?

• By finding the area under the curve

• By drawing a tangent and calculating its gradient

• By measuring the curve's length

• By counting the number of peaks

In the rowing race, what was Dave's maximum speed compared to Phil's?

• Dave was always slower

• Dave was faster at one point

• Dave and Phil had the same maximum speed

• Phil was always faster

What is the formula for calculating speed?

• Speed = Distance x Time

• Speed = Distance / Time

• Speed = Time / Distance

• Speed = Distance + Time

What should you remember about the steepness of a tangent on a distance/time graph?

• The tangent's steepness indicates direction

• The tangent's steepness has no effect

• The steeper the tangent, the faster the object

• The steeper the tangent, the slower the object