Understanding Displacement from Velocity-Time Graphs

What does the y-axis represent in a velocity versus time graph?

• Acceleration in meters per second squared

• Displacement in meters

• Velocity in meters per second

• Time in seconds

How is the displacement of an object determined from a velocity-time graph?

• By calculating the area under the curve

• By counting the number of peaks

• By measuring the slope of the graph

• By finding the maximum velocity

What geometric shapes are used to calculate the area under the curve in the given example?

• Hexagons and pentagons

• Trapezoids and ellipses

• Triangles and rectangles

• Circles and squares

If a section of the graph is a rectangle with a base of 8 seconds and a height of 18 m/s, what is the displacement?

• 36 meters

• 144 meters

• 64 meters

• 72 meters

What is the displacement for a triangle with a base of 10 seconds and a height of 18 m/s?

• 90 meters

• 180 meters

• 45 meters

• 135 meters

In the scenario with both positive and negative velocities, what is the total displacement after 20 seconds?

• 80 meters

• 40 meters

• 120 meters

• 0 meters

What does a negative velocity indicate about the direction of an object's movement?

• The object is slowing down

• The object is moving in the opposite direction

• The object is moving faster

• The object is stationary

Why is it important to use the correct signs for velocity when calculating displacement?

• To calculate the speed of the object

• To ensure the graph is accurate

• To find the time taken for the journey

• To determine the correct direction of movement

What happens to the object in the example when it has a positive velocity for the first 10 seconds and a negative velocity for the next 10 seconds?

• It moves in a circle

• It returns to its starting point

• It accelerates continuously

• It stops moving

What is the key takeaway for calculating displacement from a velocity-time graph?

• Count the number of peaks

• Calculate the area under the curve and use correct signs

• Focus on the highest velocity

• Always use the largest area