Skip to content

Grade 10 · Core Mathematics · Lesson 7 of 14

Drawing Velocity-Time Graphs from Data Tables

A Grade 10 Core Mathematics CBE lesson from the sub-strand Linear Motion. In it, learners identify horizontal and vertical axes with appropriate scales for time and velocity.

Strand Measurements and GeometrySub-strand Linear MotionLesson code 10CM-29-L740 minutes · 2 slides

KICD learning outcome (e)

Draw a velocity-time graph from given tables in different situations.

By the end of this lesson, learners should be able to

  1. Identify horizontal and vertical axes with appropriate scales for time and velocity
  2. Plot coordinate points from tabular data accurately on graph paper
  3. Construct velocity-time graphs for both increasing and decreasing velocities

Key vocabulary

Velocity-time graph
A graph showing how velocity changes over time with time on horizontal axis.
Plotting speed against time on rectangular axes produces a velocity-time graph for the journey.
Initial velocity
The velocity of a moving object at the beginning of an observed time interval.
At time t=0 s, the initial velocity of the vehicle is 15 m/s.
Deceleration
The rate at which an object's velocity decreases over a period of time.
The downward slope on the velocity-time graph indicates uniform deceleration of the ferry.

Lesson preview

Slide 1 · Constructing Velocity-Time Graphs for Increasing VelocityOpening · 18 min
A velocity-time graph displaying a straight upward-sloping line to demonstrate how velocity increases at a constant rate over time.
Figure 1: A velocity-time graph displaying a straight upward-sloping line to demonstrate how velocity increases at a constant rate over time.

Constructing a graph of speed against time requires drawing two orthogonal axes. We assign elapsed time to the horizontal axis and instantaneous velocity to the vertical axis. Choosing uniform grid intervals allows us to plot pairs (t,v) accurately from a data schedule and connect them with a straight ruler to show steady speed change. By evaluating these linear plots, you will see how mapping acceleration helps monitor driving speeds for better road safety. Use Figure 1 to see an example of a linear plot showing constant acceleration.

  • Plot time on the horizontal axis and velocity on the vertical axis using uniform grid scales.
  • Each pair of table values forms a coordinate point (t,v) plotted on graph paper.
  • Joining the plotted points with a straight line produces a velocity-time graph for constant acceleration.
  • Examine the resulting linear plot and share observations regarding constant positive acceleration with your peers.
Worked example. Step 1: Set up horizontal axis for Time t (s) from 0 to 10 s and vertical axis for Velocity v (m/s) from 0 to 70 m/s. Step 2: Plot coordinate points (t,v): (0,15), (2,25), (4,35), (6,45), (8,55), and (10,65). Step 3: Connect the plotted points with a straight line using a ruler. Step 4: Read the velocity value at t=0 s, which gives the initial velocity v=15 m/s. Answer: A straight line graph joining (0,15) to (10,65) with an initial velocity of 15 m/s..

Check question: A motorcycle moving along a straight road has recorded values: at t=0 s, v=10 m/s; at t=3 s, v=22 m/s; at t=6 s, v=34 m/s; at t=9 s, v=46 m/s. If plotted on a velocity-time graph, what is the vertical coordinate corresponding to t=6 s?

  1. 34 m/s
  2. 6 m/s
  3. 22 m/s
  4. 12 m/s
Show answer

34 m/s. Reading directly from the given values, at t=6 s, the velocity value is 34 m/s. On a velocity-time graph, velocity represents the vertical coordinate.

Slide 2 · Constructing Velocity-Time Graphs for Decreasing VelocityModel · 22 min
A velocity-time graph featuring a downward-sloping straight line that illustrates an object's velocity decreasing steadily over time.
Figure 2: A velocity-time graph featuring a downward-sloping straight line that illustrates an object's velocity decreasing steadily over time.

Teach the full lesson on the projector

This lesson, and every other Grade 1–10 CBE lesson, comes ready to project with the EAP ClassKit. It runs without electricity or internet.

  • Both slides with diagrams and class activities
  • Teacher notes, SNE adaptations and assessment checks
  • Homework and the other 13 lessons in this sub-strand

All 14 lessons in Linear Motion

  1. 1Distance, Displacement, Speed, Velocity and AccelerationExplain the terms distance, displacement, speed, velocity and acceleration in real-life situations
  2. 2Determining Velocity and AccelerationDetermine velocity and acceleration in different situations
  3. 3Determining Velocity and Acceleration in Different SituationsDetermine velocity and acceleration in different situations
  4. 4Drawing Displacement-Time Graphs in Linear MotionDraw a displacement-time graph of different situations
  5. 5Interpreting Displacement-Time GraphsInterpret displacement-time graph in different situations
  6. 6Interpreting Displacement-Time Graphs in Different SituationsInterpret displacement-time graph in different situations
  7. 7Drawing Velocity-Time Graphs from Data TablesDraw a velocity-time graph from given tables in different situations
  8. 8Drawing Velocity-Time Graphs from Data Tables: Deceleration and ScenariosDraw a velocity-time graph from given tables in different situations
  9. 9Interpreting Velocity-Time Graphs in Linear MotionInterpret velocity-time graph in different situations
  10. 10Interpreting Velocity-Time Graphs in Practical SituationsInterpret velocity-time graph in different situations
  11. 11Relative Speed in Linear MotionDetermine relative speed of two moving bodies in different situations
  12. 12Relative Speed in Linear Motion: Advanced ApplicationsDetermine relative speed of two moving bodies in different situations
  13. 13Appreciating Linear Motion in Real-Life SituationsAppreciate use of linear motion in real-life situations
  14. 14Real-Life Applications of Linear MotionAppreciate use of linear motion in real-life situations