Chapter 3: Two-Dimensional Kinematics

position vector

A natural way to describe the position of an object in more than one dimension is to define a \_______ that points from the origin to the location of the object.

Position Vector Definiton

Instantaneous velocity (2D Kinematics)

Instantaneous speed (2D Kinematics)

Instantaneous acceleration (2D Kinematics)

two-dimensional vector equations

The definitions of velocity and acceleration are \____________ , each of which is equivalent to a set of two one-dimensional equations.

definition of velocity

instantaneous velocity

For the \______________ vector , the magnitude is the speed (a scalar), and its direction is in the direction of motion (tangent to the path of the object).

inertial reference frames

For most problems that you will have to deal with, the two reference frames will be \_____________ , which means that they move with a constant velocity with respect to each other.

Vector addition relates the position of an object relative to two different frames of reference

Tangential Acceleration (a∥)

Affects only the magnitude of the velocity vector.

Radial Acceleration  (a⊥)

Affects only the direction of the velocity vector.

ω

determines the sense of rotation

magnitude of ω

determines how quickly the r(t) vector rotates.

Phase shift angle (ϕ)

A parameter that determines the initial angle and thus the initial position.

Nonuniform circular motion

Refers to motion in a circular path with nonconstant velocity.