MATHS - Graphs - Velocity-Time Graphs

The video tutorial explains velocity-time graphs, focusing on how they depict changes in velocity over time. It covers calculating acceleration by finding the gradient of the graph, with straight lines indicating constant acceleration and curved lines showing changing acceleration. The tutorial also demonstrates how to calculate the distance traveled by finding the area under the graph, using shapes like trapeziums, triangles, and rectangles.

What does the gradient of a velocity-time graph represent?

• Acceleration

• Speed

• Time

• Distance

What is the acceleration if the velocity changes by 18 m/s over 10 seconds?

• 2.0 m/s²

• 0.9 m/s²

• 1.8 m/s²

• 1.0 m/s²

If a velocity-time graph shows a horizontal line, what does it indicate about the object's motion?

• The object is accelerating

• The object is decelerating

• The object is moving at a constant speed

• The object is stationary

How do you determine the acceleration from a curved velocity-time graph?

• By calculating the average speed

• By finding the gradient using a tangent

• By counting the number of curves

• By measuring the area under the curve

What does a decreasing gradient on a velocity-time graph indicate?

• Constant speed

• Increasing acceleration

• No movement

• Decreasing acceleration

What is the significance of the area under a velocity-time graph?

• It represents the acceleration

• It represents the speed

• It represents the distance traveled

• It represents the time taken

How can you calculate the area of a trapezium under a velocity-time graph?

• By counting the number of squares under the graph

• By using the relevant equation for a trapezium

• By using the formula for the area of a triangle

• By using the formula for the area of a rectangle