# Lesson Worksheet: Velocity–Time Graphs Mathematics

In this worksheet, we will practice calculating the displacement or acceleration of a particle moving in a straight line from its velocity–time graph.

**Q15: **

Three cars, A, B, and C, are being driven along a straight road. The following graphs show how the velocity of each car changes once the driver sees that the traffic lights are red.

Which car stops in the shortest distance?

- ACar B
- BCar C
- CCar A

**Q18: **

Daniel made a 60-minute trip to town. The given graph shows the distance he was from his house throughout his trip.

He stopped at two shops. At what times was that?

- A and
- B and
- C and
- D and
- E and

At some point, he changed direction without stopping first. When was that?

- A
- B
- C
- D
- E

At what times was he moving toward his house?

- A and
- B and
- C and
- D and
- E and

At which minute was he moving fastest?

- A
- B
- C
- D
- E

**Q20: **

The three graphs in the figure show the position of a particle, its velocity, and its acceleration against time, respectively. Identify each graph.

- ADisplacement–time graph: red, velocity–time graph: blue, acceleration–time graph: green
- BDisplacement–time graph: blue, velocity–time graph: red, acceleration–time graph: green
- CDisplacement–time graph: red, velocity–time graph: green, acceleration–time graph: blue
- DDisplacement–time graph: green, velocity–time graph: blue, acceleration–time graph: red
- EDisplacement–time graph: green, velocity–time graph: red, acceleration–time graph: blue

**Q24: **

The following figure shows a velocity time–graph of a particle moving in a straight line.

When is the particle moving backward?

- A
- B
- C
- D
- E

When is the particle moving at a constant velocity?

- A
- B
- C
- D
- E

**Q25: **

True or False: In a velocity–time graph, if, at a given time, the graph has a negative slope, then the object has positive acceleration at that time.

- ATrue
- BFalse