Understanding Distance-Time Graphs and Calculating Speed

The video tutorial explains how distance-time graphs can be used to analyze the motion of an object, specifically a cyclist. It covers how to calculate speed by finding the gradient of different sections of the graph, including stationary and moving phases. The tutorial also discusses accelerated motion and how to determine speed using tangents on a curve.

What does the Y-axis represent in a distance-time graph?

• Acceleration in meters per second squared

• Speed in meters per second

• Distance in meters

• Time in seconds

How is the speed of the cyclist calculated between 0 and 5 seconds?

• By finding the gradient of the graph section

• By dividing the total distance by the total time

• By measuring the area under the graph

• By counting the number of grid squares

What is the speed of the cyclist between 5 and 9 seconds?

• 8 meters per second

• 0 meters per second

• 1.33 meters per second

• 4 meters per second

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

• The object is accelerating

• The object is stationary

• The object is decelerating

• The object is moving at constant speed

What is the speed of the cyclist between 14 and 17 seconds?

• 4 meters per second

• 0 meters per second

• 1.33 meters per second

• -8 meters per second

How can speed be calculated for an object in accelerated motion?

• By finding the area under the curve

• By measuring the height of the curve

• By counting the number of peaks

• By drawing a tangent to the curve

What does an increasing gradient on a distance-time graph indicate?

• The object is stationary

• The object is moving at constant speed

• The object is accelerating

• The object is decelerating