Hence, the position of a particle at time t is denoted as r(t) or, assuming that the motion takes place in two dimensions, as r(t) x(t) bx y(t) (x(t), y(t)). Because the motion of the particle may involve more than one spatial dimension, a vector representation is adopted. For this purpose, the first element of the kinematic description of the motion of a particle involves tracking its position as a function of time. Vector Algebra 1 Kinematics is the part of Physics that contains the terminology used to describe the motion of particles. The direction unit vector bv can also be represented in terms of the direction angle as b v cos bx sin. 2 2 2 vx vy vx vy2 Note: The magnitude of a vector is always positive. In terms of its components (vx, vy ), the magnitude of the vector v is v while its direction is b v q vx2 vy2, vx vy b b q x q y. Definition of a Vector A vector v is determined in terms of its magnitude v and its direction bv In space, a vector v is written as v vx bx vy, where bx (1, 0) and (0, 1) are unit vectors in the directions of increase of x and y, respectively, and (vx, vy ) denotes its components. Preview text Lecture Notes for College Physics I Contents 1 Vector Algebra 1 2 Kinematics of Motion 2 3 Projectile Motion 5 4 Laws of Motion 8 5 Force Problems 12 6 Forces due to Friction and Uniform Circular Motion 16 7 Law of Universal Gravitation 20 8 Theorem I 22 9 Theorem II 24 10 Linear Momentum and Collisions 30 11 Rotation Kinematics Dynamics 36 12 Problems in Rotational Dynamics 40 13 Statics 45 14 Oscillations 47 15 Waves 52 1 1 Vector Algebra Textbook Reference: Chapter 3 sections Appendix A.

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