Displacement Time Graphs in Motion Analysis

This video tutorial extends the concept of displacement to displacement time graphs. It explains how to draw these graphs, with displacement on the vertical axis and time on the horizontal axis. The tutorial demonstrates how to analyze movement and rest on the graph, using points A and B as examples. It also covers how to calculate velocity from the graph's gradient, emphasizing the importance of direction in velocity. The video concludes with a discussion on interpreting negative parts of the graph.

What is the displacement of point P if it moves 2 units to the right?

• -2 meters

• -1 meter

• 2 meters

• 1 meter

In a displacement time graph, what is typically plotted on the vertical axis?

• Speed

• Time

• Velocity

• Displacement

At what time does point P reach point A and stop?

• 8 seconds

• 2 seconds

• 4 seconds

• 6 seconds

What is the displacement of point P at 12 seconds?

• -1 meter

• 2 meters

• 1 meter

• 0 meters

How long does point P stay at rest at point B?

• 3 seconds

• 4 seconds

• 2 seconds

• 1 second

What is the velocity of point P from O to A?

• 0.5 meters per second to the left

• 1 meter per second to the right

• 0.5 meters per second to the right

• 1 meter per second to the left

What is the gradient of the graph from A to B?

• 1

• -1

• 0.5

• -0.5

What is the velocity of point P from B to O?

• 0.5 meters per second to the left

• 1 meter per second to the right

• 0.5 meters per second to the right

• 1 meter per second to the left

What does a negative gradient on a displacement time graph indicate?

• Decrease in speed

• Movement to the left

• Increase in speed

• Movement to the right

What is the relationship between velocity and the gradient of a displacement time graph?

• Velocity is half the gradient

• Velocity is the inverse of the gradient

• Velocity is equal to the gradient

• Velocity is twice the gradient