PPT-Vectors: Position and Displacement

Lesson 11 February 2 nd 2011 If a student said that they had to walk 800m to get to school today you would only know the distance they travelled and the destination You would not know their starting point or the directions they took to get here. Scalar quantities . have only a magnitude (amount).. Vector quantities . have a magnitude . and. a direction. . We represent them as . arrows. .. Distance. (d): . the . separation between . two . points. . Objectives. :. Distinguish between vector and scalar quantities. Add vectors graphically. Scalar. – a quantity that can be completely described by a number (called its magnitude) and a unit.. Ex: length, temperature, and volume. Describing the Motion of Objects. Distance (. d. ): . The total length of the path travelled by an object. Measured in meters (m). Describing the Motion of Objects. Direction: . The line an object moves along from a particular point. Is a . number. with units. It can be positive or negative.. Example: distance, mass, speed, Temperature…. Chapter 3: . VECTORS. 3-2 . Vectors and Scalars. Scalar. Is a quantity with both . direction. M. echanics. - the study of the motion of objects. we focus on the language, principles, and laws that describe and explain the motion of objects. Kinematics. is the science of describing the motion of objects using words, diagrams, numbers, graphs, and equations. . Distinguish between scalars and vectors.. Recognise quantities as either scalars or vectors.. HL: Find the resultant of perpendicular vectors.. HL: Describe how to find the resultant of two vectors.. Scalar quantities . have only a magnitude (amount).. Vector quantities . have a magnitude . and. a direction. . We represent them as . arrows. .. Distance. (d): the separation between . two points. . by . three . numbers: . . (. x. , . y. , . z. ), and a . position vector. – an . arrow . showing the displacement from . the origin to that position. . Vectors add like successive displacements or algebraically by . 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. Quantities. Units. Vectors. Displacement. Velocity. Acceleration. Kinematics. Graphing Motion in 1-D. Some Physics Quantities. Vector - quantity with both magnitude (size) and direction. Scalar - quantity with magnitude only. The line and arrow used in Ch.3 showing magnitude and direction is known as the . Graphical Representation. Used when drawing vector diagrams. When using printed materials, it is known as . Algebraic Representation. Read Chapter 1.6-1.9. Scalars and Vectors. All measurements are considered to be quantities. In physics, there are 2 types of quantities – . SCALARS. . AND . VECTORS. .. Scalar. quantities have only magnitude.. Warmup What is the magnitude and direction of the gravity of the Earth? Solve this problem: If the initial velocity of a ball is 12.6 m/s when it is thrown upward from a height of 2.3 m, what is the velocity of the ball when it passes this point on the way down? Examples should include: . velocity/speed, mass, force/weight, acceleration, displacement/distance. . Addition of vectors by calculation or scale drawing. . Calculations will be limited to two vectors at right angles. Scale drawings may involve vectors at angles other than .