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 𝑠 measured in meters and the time 𝑡 measured in minutes.

  • A𝑠=21𝑡+1
  • B𝑠=7𝑡+4.5
  • C𝑠=4.5𝑡+7
  • D𝑠=𝑡+21

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?

  • AThevelocityispositiveatand𝑡=4𝑡=24.
  • BThevelocityispositiveatthetimeintervalonly16<𝑡<24.
  • CThevelocityispositiveatthetimeintervalsand0<𝑡<816<𝑡<24.
  • DThevelocityispositiveatand𝑡=3𝑡=16.
  • EThevelocityispositiveatthetimeintervalonly0<𝑡<8.

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?

  • AThevelocityispositiveatthetimeintervalonly3<𝑡<4.
  • BThevelocityispositiveatthetimeintervalsand0<𝑡<13<𝑡<4.
  • CThevelocityispositiveatthetimeintervalonly0<𝑡<1.
  • DThevelocityispositiveatthetimeinterval0<𝑡<2.
  • EThevelocityispositiveatthetimeinterval1<𝑡<3.

Q6:

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

Which of the following statements is true?

  • AThe velocity is zero at 𝑡=0 s, 𝑡=2 s, 𝑡=3 s.
  • BThe velocity is zero at 𝑡=1 s only.
  • CThe velocity is zero at 𝑡=1 s and 𝑡=3s.
  • DThe velocity is zero at 𝑡=2 s only.
  • EThe velocity is zero at 𝑡=3s 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
  • B98 m
  • C6 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)?

  • A𝑡=3
  • B𝑡=4
  • C𝑡=0.75
  • D𝑡=2
  • E2<𝑡<3

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 𝑡=1 s.

  • A23 m/s
  • B12 m/s
  • C23 m/s
  • D1 m/s
  • E32 m/s

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.