GCSE Secondary Maths Age 13-17 - Graphs: Velocity-Time Graphs - Explained

The video tutorial explains how to estimate the distance traveled by a car using a speed-time graph. It covers the method of dividing the graph into four equal strips and calculating the area of each strip using trapeziums. The tutorial also discusses the accuracy of the estimation and explains why the calculated distance is an underestimate due to the graph's curve being above the trapeziums.

What is the primary purpose of dividing the speed-time graph into strips?

• To find the speed at different times

• To determine the acceleration

• To calculate the distance traveled

• To simplify the graph

How is the area of a triangle calculated in the context of this problem?

• Base plus height

• Sum of all sides

• Base multiplied by height

• Base multiplied by height divided by two

What formula is used to calculate the area of a trapezium?

• Half the sum of parallel sides multiplied by the distance between them

• Sum of parallel sides multiplied by height

• Base plus height divided by two

• Base multiplied by height

What is the total distance traveled by the car in the first 20 seconds according to the calculation?

• 488 meters

• 497.5 meters

• 450 meters

• 507 meters

How many marks were allocated for finding the area of one strip?

• Three marks

• Two marks

• No marks

• One mark

Why is the calculated distance considered an underestimate?

• Because the strips are not used

• Because the strips are equal to the curve

• Because the strips are below the curve

• Because the strips are above the curve

What does the gradient of the tangent on a speed-time graph represent?

• Time

• Speed

• Distance

• Acceleration