Displacement and Distance Time Graphs

This video tutorial explores the differences between displacement-time and distance-time graphs. It begins by explaining the concept of a displacement-time graph, using an example of a person walking in different directions. The video then contrasts this with a distance-time graph, highlighting how distance is always positive. The tutorial also delves into understanding the gradients of these graphs, explaining how they represent speed and velocity. The video concludes with a brief summary and a preview of the next video, which will include specific questions and examples.

What is the primary difference between displacement time graphs and distance time graphs?

• Both graphs can have negative values.

• Neither graph can have negative values.

• Distance time graphs can have negative values, while displacement time graphs cannot.

• Displacement time graphs can have negative values, while distance time graphs cannot.

In the example of a displacement time graph, how far does the person walk in the positive direction?

• 7 meters

• 2 meters

• 10 meters

• 5 meters

How long does it take for the person to walk back to the position of -5 meters in the example?

• 20 seconds

• 15 seconds

• 5 seconds

• 10 seconds

What is the total distance traveled by the person in the distance time graph example?

• 5 meters

• 9 meters

• 7 meters

• 2 meters

How does the distance time graph differ from the displacement time graph when the person walks back?

• The distance time graph shows a negative slope.

• The distance time graph remains constant.

• The distance time graph shows a positive slope.

• The distance time graph reflects the negative slope upwards.

What does the gradient of a distance time graph represent?

• The displacement of the particle

• The speed of the particle

• The velocity of the particle

• The acceleration of the particle

Why can the gradient of a displacement time graph be negative?

• Because the particle is stationary

• Because the particle is moving in the opposite direction

• Because the particle is accelerating

• Because the particle is moving faster

How is speed calculated from a distance time graph?

• By subtracting the initial distance from the final distance

• By adding the initial distance to the final distance

• By multiplying the total distance by the total time

• By dividing the total distance by the total time

What is the velocity of the particle between 5 and 15 seconds in the displacement time graph example?

• 0.7 meters per second

• -0.7 meters per second

• 0.4 meters per second

• -0.4 meters per second

What is the speed of the particle between 5 and 15 seconds in the distance time graph example?

• 0.7 meters per second

• -0.7 meters per second

• 0.9 meters per second

• 0.4 meters per second