Physics Kinematics: Motion in a Straight Line - Converting between Graphs of Motion Part 2

This lesson explains how to convert between graphs of motion by calculating areas. It covers the relationships between speed, velocity, and acceleration graphs, using Carmen's motion as an example. The video demonstrates how to construct distance, velocity, and displacement time graphs from speed and acceleration graphs, emphasizing the importance of understanding areas and gradients. Key principles for graph transformation are discussed, including the impact of continuous and non-continuous graphs.

What is the relationship between the area under a speed-time graph and the distance traveled?

• The area represents the change in acceleration.

• The area represents the time taken.

• The area represents the distance traveled.

• The area represents the change in speed.

In Carmen's zip line example, what shape represents the area for the first section of her speed-time graph?

• Rectangle

• Parabola

• Circle

• Triangle

How do continuous graphs differ from non-continuous graphs?

• Continuous graphs have abrupt vertical changes.

• Non-continuous graphs have no transitions.

• Non-continuous graphs have smooth transitions.

• Continuous graphs have smooth transitions.

What does a negative area under an acceleration-time graph indicate?

• A positive change in velocity

• A negative change in velocity

• A constant velocity

• No change in velocity

What is the significance of the cumulative total area in a velocity-time graph?

• It shows the change in velocity.

• It shows the acceleration.

• It shows the time elapsed.

• It shows the true velocity.

How do you convert a velocity-time graph into a displacement-time graph?

• By measuring the speed

• By measuring the time intervals

• By calculating the area

• By calculating the gradient

What correction factor is used when converting cumulative total area to displacement above water?

• Add 9.9

• Subtract 9.9

• Subtract 12.2

• Add 12.2

What is the relationship between gradients and areas in graph conversions?

• They are the same.

• They are unrelated.

• They are opposites.

• They are identical.

What does a concave up parabola in a distance-time graph indicate?

• Decreasing speed

• Constant speed

• Increasing speed

• No speed

Why is it important to account for known values when converting graphs?

• To eliminate the need for reference points

• To avoid using correction factors

• To simplify calculations

• To ensure accuracy in initial conditions