# MOTION IN A PLANE NOTE BY PLANCESS

Motion in a plane includes linear motion, rotational motion, and projectile motion. This lesson will focus on two-dimensional, linear motion of a single object, and linear motion of two objects moving relative to each other.

In both scenarios unit-vectors will be utilized to organize the displacements, velocities, and accelerations of the object(s); and techniques will taught that help to solve these types of kinematics problems.

Motion can occur in one-dimension, in two-dimensions or in three-dimensions. Planar motion is when an object moves in two directions at the same time. For example, walking North and East simultaneously (Northeast) at a rapid rate of speed to get away from someone begging you to do their physics homework for them is planar motion. The use of a coordinate system is critical when analyzing motion in a plane. We use unit-vectors to designate direction along the axes. All unit-vectors have a magnitude of one and point in the positive direction of their axis. The symbol for a unit vector is a letter with a caret symbol over it. The x-direction unit vector is Ã®, also known as i-hat. We use j-hat for the y-direction and k-hat for the positive z-direction.

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