AI generatedRatio, proportion and rates of changeGCSE Higher / IGCSE Extended

Distance from a velocity-time graph

Distance from a velocity-time graph.

  • A velocity–time graph shows velocity vertically and time horizontally.
  • Its gradient gives acceleration; its signed area gives displacement.
  • For distance, add the magnitudes of areas if the graph goes below the time axis.

Example 1

Find the total distance travelled. All velocities shown are non-negative.

Coordinate graph12345678510150ABC
The first section is a triangle.The constant-velocity section is a rectangle.The final section is another triangle.Add the areas. With non-negative velocity, this gives distance.

Example 2

Find the total distance travelled. All velocities shown are non-negative.

Coordinate graph123456789510150ABC
The first section is a triangle.The constant-velocity section is a rectangle.The final section is another triangle.Add the areas. With non-negative velocity, this gives distance.

Your turn

Question 1

Find the total distance travelled. All velocities shown are non-negative.

Coordinate graph12345678910510150ABC
Check answer
The first section is a triangle.The constant-velocity section is a rectangle.The final section is another triangle.Add the areas. With non-negative velocity, this gives distance.
Question 2

Find the total distance travelled. All velocities shown are non-negative.

Coordinate graph1234567891011510150ABC
Check answer
The first section is a triangle.The constant-velocity section is a rectangle.The final section is another triangle.Add the areas. With non-negative velocity, this gives distance.
Question 3

Find the total distance travelled. All velocities shown are non-negative.

Coordinate graph12345678910111251015200ABC
Check answer
The first section is a triangle.The constant-velocity section is a rectangle.The final section is another triangle.Add the areas. With non-negative velocity, this gives distance.
Question 4

Find the total distance travelled. All velocities shown are non-negative.

Coordinate graph12345678951015200ABC
Check answer
The first section is a triangle.The constant-velocity section is a rectangle.The final section is another triangle.Add the areas. With non-negative velocity, this gives distance.
Question 5

Find the total distance travelled. All velocities shown are non-negative.

Coordinate graph1234567891051015200ABC
Check answer
The first section is a triangle.The constant-velocity section is a rectangle.The final section is another triangle.Add the areas. With non-negative velocity, this gives distance.
← All Ratio, proportion and rates of change cardsReport a mistake