Exploring Displacement-Time Graphs

The video tutorial introduces distance-time graphs, also known as displacement-time graphs, which depict the motion of an object along a linear path. The instructor uses the story of Paco the Squirrel to illustrate how these graphs can represent motion. The tutorial explains the construction of a DT graph, with time on the x-axis and displacement on the y-axis, and demonstrates how to plot points to show an object's position over time. The video also covers how to calculate velocity using the slope of the graph, providing examples from Paco's journey to highlight key concepts.

What is the primary purpose of a distance-time graph?

• To calculate the mass of an object

• To show the speed of an object

• To represent the motion of an object over time

• To measure the temperature changes

In Paco the squirrel's story, what does a flat region on the distance-time graph indicate?

• Paco is moving forward

• Paco is accelerating

• Paco is moving backward

• Paco is standing still

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

• Velocity

• Time

• Acceleration

• Displacement

What does a positive value on the y-axis of a distance-time graph represent?

• Negative velocity

• Zero displacement

• Backward displacement

• Forward displacement

What does a downward slope on a distance-time graph indicate?

• The object is moving forward

• The object is decelerating

• The object is moving backward

• The object is accelerating

How far did Paco move forward in the first second of his journey?

• 4 meters

• 3 meters

• 2 meters

• 1 meter

When Paco ran backwards after hearing the eagle, what was his displacement?

• 5 meters

• 4 meters

• 3 meters

• 2 meters

How can you determine the velocity of an object from a distance-time graph?

• By counting the number of peaks

• By finding the highest point on the graph

• By calculating the slope of the graph

• By measuring the area under the graph

What was Paco's velocity when he was standing still because of the eagle?

• 0 meters per second

• 1 meter per second

• 2 meters per second

• 5 meters per second

What is the formula for calculating velocity from a distance-time graph?

• Velocity = Time / Displacement

• Velocity = Time - Displacement

• Velocity = Displacement / Time

• Velocity = Displacement * Time