Distance-Time Graphs and Speed Concepts

The video tutorial explains the concept of constant rate of change, which is essentially the gradient of a linear graph. It uses examples, such as calculating the speed of a car using a distance-time graph, to illustrate how the gradient represents speed. The tutorial also defines a distance function and explores the relationship between time and distance. Additionally, it analyzes the speeds of three cars on a track, demonstrating how different speeds affect travel time. The video concludes with a summary of the concepts and their real-life applications.

What does the gradient of a linear graph represent?

• The color of the graph

• The width of the graph

• The steepness of the graph

• The length of the graph

If a car travels 150 kilometers in 2 hours, what is its speed in kilometers per hour?

• 75 km/h

• 60 km/h

• 80 km/h

• 50 km/h

How do you convert speed from kilometers per minute to kilometers per hour?

• Subtract 60

• Add 60

• Multiply by 60

• Divide by 60

In a distance function d(t) = 5/4 * t, what does 5/4 represent?

• The time

• The distance

• The origin

• The gradient

What happens to the time taken if the speed of a car is doubled?

• Time remains the same

• Time is halved

• Time is doubled

• Time is tripled

If car Z travels at half the speed of car X, how long will it take compared to car X?

• Double the time

• Same time

• Half the time

• Triple the time

What is the starting point of a distance-time graph?

• (1, 0)

• (0, 1)

• (1, 1)

• (0, 0)

Why do linear distance-time graphs indicate constant speed?

• Because the gradient is constant

• Because the gradient changes

• Because the graph is curved

• Because the graph is colorful

Which of the following is a real-life application of linear graphs?

• Petrol consumption of a car

• Color of a car

• Size of a car

• Shape of a car

What formula is used to find the gradient of a linear graph?

• x2 - x1 over y2 - y1

• y2 - y1 over x2 - x1

• x1 - x2 over y1 - y2

• y1 - y2 over x1 - x2