# 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