Chapter 4
Motion in Two Dimensions
,Kinematics in Two Dimensions
Will study the vector nature of position, velocity and acceleration in greater detail
Will treat projectile motion and uniform circular motion as special cases
Discuss relative motion
Introduction
,Position and Displacement
The position of an object
r is described
by its position vector, r .
The displacement of the object is
defined as the change in its position.
r r r
Δ r ≡rf −ri
Section 4.1
, General Motion Ideas
In two- or three-dimensional kinematics, everything is the same as in one-
dimensional motion except that we must now use full vector notation.
Positive and negative signs are no longer sufficient to determine the
direction.
Section 4.1
Motion in Two Dimensions
,Kinematics in Two Dimensions
Will study the vector nature of position, velocity and acceleration in greater detail
Will treat projectile motion and uniform circular motion as special cases
Discuss relative motion
Introduction
,Position and Displacement
The position of an object
r is described
by its position vector, r .
The displacement of the object is
defined as the change in its position.
r r r
Δ r ≡rf −ri
Section 4.1
, General Motion Ideas
In two- or three-dimensional kinematics, everything is the same as in one-
dimensional motion except that we must now use full vector notation.
Positive and negative signs are no longer sufficient to determine the
direction.
Section 4.1