Distance from the area under a velocity–time graph

Question 1

A train travels at a constant 25 m/s for 40 s. On a velocity–time graph, what is the area under the line, and so the distance travelled, in m?

Answer m

Question 2

Velocity–time graph: (0 s, 0 m/s) → (10 s, 10 m/s) → (20 s, 10 m/s) → (30 s, 0 m/s). What is the total distance travelled, in m?

Answer m

Question 3

A velocity–time graph rises in a straight line from (0 s, 0 m/s) to (5 s, 5 m/s). How far does the object travel in this time, in m?

Answer m

Question 4

A train travels at a constant 20 m/s for 40 s. On a velocity–time graph, what is the area under the line, and so the distance travelled, in m?

Answer m

Question 5

Velocity–time graph: (0 s, 0 m/s) → (10 s, 30 m/s) → (20 s, 30 m/s) → (25 s, 0 m/s). What is the total distance travelled, in m?

Answer m

Question 6

A velocity–time graph rises in a straight line from (0 s, 0 m/s) to (4 s, 4 m/s). How far does the object travel in this time, in m?

Answer m

Question 7

A train travels at a constant 10 m/s for 20 s. On a velocity–time graph, what is the area under the line, and so the distance travelled, in m?

Answer m

Question 8

Velocity–time graph: (0 s, 0 m/s) → (10 s, 30 m/s) → (20 s, 30 m/s) → (30 s, 0 m/s). What is the total distance travelled, in m?

Answer m

Question 9

A velocity–time graph rises in a straight line from (0 s, 0 m/s) to (10 s, 30 m/s). How far does the object travel in this time, in m?

Answer m

Question 10

A train travels at a constant 10 m/s for 20 s. On a velocity–time graph, what is the area under the line, and so the distance travelled, in m?

Answer m

Question 11

Velocity–time graph: (0 s, 0 m/s) → (4 s, 8 m/s) → (9 s, 8 m/s) → (13 s, 0 m/s). What is the total distance travelled, in m?

Answer m

Question 12

A velocity–time graph rises in a straight line from (0 s, 0 m/s) to (10 s, 10 m/s). How far does the object travel in this time, in m?

Answer m

Question 13

A train travels at a constant 25 m/s for 30 s. On a velocity–time graph, what is the area under the line, and so the distance travelled, in m?

Answer m

Question 14

Velocity–time graph: (0 s, 0 m/s) → (5 s, 15 m/s) → (15 s, 15 m/s) → (20 s, 0 m/s). What is the total distance travelled, in m?

Answer m

Question 15

A velocity–time graph rises in a straight line from (0 s, 0 m/s) to (4 s, 8 m/s). How far does the object travel in this time, in m?

Answer m

Question 16

A train travels at a constant 12 m/s for 20 s. On a velocity–time graph, what is the area under the line, and so the distance travelled, in m?

Answer m