# Worksheet: Displacement–Time Graphs

In this worksheet, we will practice using displacement–time graphs and interpret the slope of the curve as the velocity of the body.

**Q1: **

A motorcycle was moving uniformly such that, after 4 minutes, it was 25 km away from a certain point and, after 8 minutes, it was 29 km away from the same point. Determine the relation between the distance from that point measured in meters and the time measured in minutes.

- A
- B
- C
- D

**Q2: **

This displacement-time graph describes an object’s motion. Use it to predict the time, in seconds, at which the object will be at a position of 16 meters.

**Q3: **

The position-time graph given below describes an object’s motion.

Which of the following statements is true?

- A
- B
- C
- D
- E

**Q4: **

A car moves horizontally on a highway. The displacement of the car in kilometers over time is shown in the displacement-time graph below.

How many times does the car change its direction?

**Q5: **

This displacement-time graph describes an object’s motion.

Which of the following statements is true?

- A
- B
- C
- D
- E

**Q6: **

This displacement-time graph describes an object’s motion.

Which of the following statements is true?

- AThe velocity is zero at s, s, s.
- BThe velocity is zero at s only.
- CThe velocity is zero at s and .
- DThe velocity is zero at s only.
- EThe velocity is zero at only.

**Q7: **

A red ball moves horizontally in a 30 m long tube. The position of the ball in meters over time is shown in the position-time graph below.

What is the displacement of the ball between 0 and 24 s?

- A6 m
- B m
- C m
- D0 m
- E54 m

**Q8: **

A red ball moves horizontally in a 30 m long tube. The position of the ball, in meters, over time is shown in the position-time graph below.

What is the distance covered by the ball between 0 and 24 s?

**Q9: **

The displacement-time graph given below describes the motion of an object.

At what time is the object at rest (velocity zero)?

- A
- B
- C
- D
- E

**Q10: **

The horizontal position of an object in meters over time is shown in the following displacement–time graph. Find the value of the velocity at s.

- A m/s
- B m/s
- C m/s
- D1 m/s
- E m/s