PPT-Vectors & Relative Motion

MultipleChoice Practice Problems Question 1 In a diagram the length of a vector arrow represents the type of vector direction of the vector magnitude of the vector cause of the vector . define . scalar and vector quantities and . give . examples.. (. b) draw and use a vector triangle to . determine the resultant of two vectors such as displacement, velocity and force.. (c) Use trigonometry to determine the resultant of two vectors.. A.S. 1.3.1 – 1.3.4. Scalar Quantities. Those values, measured or coefficients, that are complete when reported with only a magnitude. Examples:. . the table is 2.5 m long. . He ran the 100. m race in 12.65 s.. In the case of vectors, we have a special vector known as the . unit vector. Unit Vector. = any vector with a length 1; direction irrelevant . Two special unit vectors we look at the most;. i. = {1, 0}. At the end of yesterday, we addressed the case of using the dot product to determine the angles between vectors. Similar to equations from algebra, we can talk about relationship of vectors as well. Parallel. Any vector can be resolved into horizontal and vertical components. v. v. x. v. y. A Helicopter is traveling . above a highway at . 29m/s at an angle of 25 degrees with respect to flat ground.. . How fast would a sports car have to travel to stay beneath the helicopter?. August 2011. Objectives.. To define the difference between scalar and . vectorial. quantities. . To understand and use . vectorial. addition. . To state and understand the concept of relative velocities.. Matrices. Definition: A matrix is a rectangular array of numbers or symbolic elements. In many applications, the rows of a matrix will represent individuals cases (people, items, plants, animals,...) and columns will represent attributes or characteristics. Motivating Question. : An Airplane flies north with an airspeed of 575 mph. If the wind is blowing 30° north of east at 50 mph, what is the speed of the plane as measured from the ground? What if the wind blew south of west?. . Vectors. . . . When an object moves along a straight line, its velocity can be determined by a single number that represents both magnitude and direction. (forward if positive and backward if negative.. Scalar. A . SCALAR. is ANY quantity in physics that has . MAGNITUDE. , but NOT a direction associated with it.. Magnitude. – A numerical value with units.. Scalar Example. Magnitude. Speed. 20 m/s. Vectors, Shmectors. Objectives. 1. Distinguish between a scalar and a vector.. 2. Add and subtract vectors by using the graphical method.. 3. Multiply and divide vectors by scalars.. Vectors, Schmectors. 1. Changing Units. Speed of a car is 80 miles/hour. What is it in m/s. Multiply by 1 so units cancel and correct units are left. In units of m/s: {80 miles * (5280 feet/mile)*(1 m/3.28 feet)}/hour. the . process of moving . or . changing . places . or position. Anything you do while moving is motion.. Fact: Speed is a major type of Motion. Determining motion. In order to determine motion you must know direction and speed. Mechanics – the study of how objects move and respond to external forces. Kinematics – study of motion with no concern for the cause. Motion. Perceiving motion is instinctive. —. . your . eyes pay more attention to moving objects .