1. In the study of kinematics, we consider a moving object as a particle.
Motion in 1 Dimension v 
In the study of kinematics, we consider a moving
object as a particle.
A particle is a point-like mass having infinitesimal
size and a finite mass.
Motion in One Dimension (2048)

2. = 5 m - 0 m Motion in 1 Dimension Displacement
The displacement of a particle is defined
as its change in position. x
Dx = xf - xi
= 5 m - 0 m
= 5 m
(m) -6 -4 -2 2 4 6
Note: Motion to the right is positive
Motion in One Dimension (2048)

3. = -6 m - 5 m Motion in 1 Dimension Displacement
The displacement of a particle is defined
as its change in position. x
Dx = xf - xi
= -6 m - 5 m
= -11 m
(m) -6 -4 -2 2 4 6
Note: Motion to the left is negative
Motion in One Dimension (2048)

4. = (-1 m) - (-6 m) Motion in 1 Dimension Displacement
The displacement of a particle is defined
as its change in position. x
Dx = xf - xi
= (-1 m) - (-6 m)
= 5 m
(m) -6 -4 -2 2 4 6
Note: Motion to the right is positive

5. Velocity is represented displacement-time graph
Motion in 1 Dimension
Average velocity
The average velocity of a particle is defined as - - x x1 x2 t1 t2 Dx Dt
Velocity is represented
by the slope on a
displacement-time graph t
Motion in One Dimension (2048)

6. The average speed of a particle is defined as
Motion in 1 Dimension
Average speed
The average speed of a particle is defined as x t1 t2 Dt d t
Motion in One Dimension (2048)

7. Instantaneous velocity displacement-time graph
Motion in 1 Dimension
Instantaneous velocity
The instantaneous velocity v, equals the limiting value
of the ratio x t ∆ dx dt ∆
Instantaneous velocity
is represented by
the slope of a
displacement-time graph
The instantaneous speed of a particle is defined
as the magnitude of its instantaneous velocity.
Motion in One Dimension (2048)

8. Acceleration is represented
Motion in 1 Dimension
Average acceleration
The average acceleration of a particle is defined
as the change in velocity Dvx divided by the time
interval Dt during which that change occurred. v v1 v2 t1 t2 Dv Dt
Acceleration is represented
by the slope on a
velocity-time graph t
Motion in One Dimension (2048)

9. Instantaneous acceleration
Motion in 1 Dimension
Instantaneous acceleration
The instantaneous acceleration equals the derivative
of the velocity with respect to time ∆ v t ∆ dv dt
Instantaneous acceleration
is represented by
the slope of a
velocity-time graph

10. Definitions of velocity and acceleration
Motion in 1 Dimension
Definitions of velocity and acceleration
Instantaneous velocity
Average velocity
Instantaneous acceleration
Average acceleration
Motion in One Dimension (2048)