2. Objectives
Understanding Velocity-Time Graphs: Students will learn how to interpret velocity-
time graphs and understand the relationship between velocity and time.
Analysing Motion: Students will be able to analyse different types of motion
(uniform, accelerated, and decelerated) using velocity-time graphs.
Calculating Acceleration: Students will learn how to calculate acceleration from
the slope of a velocity-time graph.
Real-World Applications: Students will explore real-world applications of velocity-
time graphs in various fields such as physics, engineering, and transportation.
3. V – t graph
A v-t graph is a graphical representation of different types of motions; the
body/object under study exhibits motions by falling under a VT (velocity-
time) frame. It means that the graph will discuss the motion of the body by
seeing the change in its velocity with respect to time.
The y-axis represents the velocity of the object, x-axis represents the time
4. Case 1: Velocity-time graphs with constant velocity (zero acceleration)
When the velocity is constant, the velocity-time graph, with Y-axis denoting
velocity and the X-axis denoting time, will be like:
As the graph shows, the velocity is constant throughout the
interval.
No matter how much the time changes, the velocity will be
constant at every instant. In this case, we have taken the
initial velocity to be positive.
The graph will be different if the initial velocity is negative.
Example: If the acceleration of a particle is zero (0), and
velocity is constantly said 5 m/s at t =0, then it will remain
constant throughout the time.
5. Case 2: Velocity-time graphs with constant acceleration
When the acceleration is constant (positive), and the initial velocity of the particle is
zero, the velocity of the particle will increase linearly
As shown in the figure, the velocity of
the particle will increase linearly with
respect to time. The slope of the
graph will give the magnitude of
acceleration
Example: If the acceleration of a
particle is constant and is positive,
the initial velocity is zero, and then
the velocity increases linearly.
6. Case 3: Velocity-time graphs with increasing acceleration
When the acceleration is increasing with time, the velocity-time graph will be a curve
20. Time
(s)
Velocity
(m/s)
0 0
1 2
2 4
3 6
4 8
5 8
6 8
7 8
8 6
9 3
10 0
Using the data in the table below, draw a velocity-time (v-t) graph. Then, describe the
motion of the object in each section of the graph. Identify where the object is
accelerating, moving at constant velocity, and decelerating.
