Distance-Time Graph Concepts

The video tutorial covers the interpretation of distance-time graphs, focusing on calculating speed, analyzing robot movement, and advanced graph interpretation skills. It explains how to read data from graphs, calculate speed using distance and time, and interpret maximum speed and gradients. The tutorial also discusses the importance of understanding stationary periods and how to draw tangents for advanced graph analysis.

What is typically represented on the horizontal axis of a distance-time graph?

• Velocity

• Speed

• Time

• Distance

If a distance-time graph shows a distance of 40 meters in 10 seconds, what is the speed?

• 2 meters per second

• 3 meters per second

• 5 meters per second

• 4 meters per second

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

• Total time divided by total distance

• Distance at the end minus distance at the start

• Total distance divided by total time

• Maximum speed minus minimum speed

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

• Deceleration

• Stationary object

• Acceleration

• Constant speed

What is the maximum speed if the steepest gradient on a graph is 24 meters in 4 seconds?

• 5 meters per second

• 4 meters per second

• 6 meters per second

• 7 meters per second

How long was the object stationary if it was stopped for 2 seconds and then 5 seconds later?

• 12 seconds

• 9 seconds

• 7 seconds

• 5 seconds

What is the average speed of a robot that travels 49 meters in 20 seconds, excluding 7 seconds of stationary time?

• 4.2 meters per second

• 3.0 meters per second

• 2.5 meters per second

• 3.8 meters per second

What is the gradient if the change in y is 50 and the change in x is 7.5?

• 6.0 meters per second

• 7.5 meters per second

• 6.7 meters per second

• 7.0 meters per second

What skill is required to determine speed from a curved part of a distance-time graph?

• Drawing a straight line

• Calculating average speed

• Judging the correct tangent

• Measuring the total distance

What is the speed if the tangent at 11 seconds on a curve gives a gradient of 3.1 meters per second?

• 3.4 meters per second

• 3.1 meters per second

• 3.7 meters per second

• 2.8 meters per second