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# Vectors and Two Dimensional motion PHYS2070

Toledo

GPA 3.0

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## Popular in General Physics I

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This 2 page Class Notes was uploaded by Jennifer Notetaker on Thursday September 10, 2015. The Class Notes belongs to PHYS2070 at University of Toledo taught by Dr. Scott Lee in Summer 2015. Since its upload, it has received 33 views. For similar materials see General Physics I in Natural Sciences and Mathematics at University of Toledo.

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Date Created: 09/10/15

Chapter 3 Summary Physics This chapter discusses the properties of vector quantities A vector is a quantity with both magnitude and direction Acceleration velocity and displacement are all vector quantities Usually an arrow is drawn above the letter that represents the vector quantity The rst property discussed is Equality of Two Vectors Two vectors are said to be equal if they both posses the same magnitude and the same direction The second property of vectors is Addition of vectors Two vectors can be added together to nd the result When they are added they must have the same units Vectors can be added algebraically or geometrically For two vectors A and B the sum AB is obtained by putting them head to tail and drawing the vector from the tail to the free head this is the geometric method ABBA This relationship is called Commutative Law of Addition The third property is Negative of a Vector The negative of a vector is de ned as a vector that has the opposite direction to the reference positive direction Vectors can also be added and subtracted like scaers The forth property is Subtraction of Vectors This is a unique case of vector addition which makes use of negative of a vector The sum or subtraction of two or more vectors is called the resultant The last property of vectors is Multiplying or Dividing a vector by a scaler quantity Multiplying or dividing a vector by a scaler gives a vector Components of a vector were also discussed in the chapter Projections of a system is a type of addition of vectors The projections are known as Components Components can be used to describe any vector The direction of vectors can be determined by whether it is positive or negative If an object is ying upwards the object is said to have a positive velocity while if an object is falling the object is said to have a negative velocity There are several ways an object can accelerate The First acceleration is when the direction of the velocity vector changes with time The second acceleration is when the magnitude of a velocity vector changes with time and nally the last acceleration is when both the magnitude and direction of the velocity vector changes simultaneously at the same time Furthermore this chapter also talks about motion travelling on two lines The previous chapter talked about motion travelling on a single line Objects moving in two dimensions move on both the x and y axes direction at the same time under a constant acceleration This two dimensional motion is referred to as Projectile Motion Projectile motion occurs on a daily basis simply throwing a ball is projectile motion When air resistance and the rotation of the earth is neglected the path of the projectile is in the shape of a parabola curved shape in the earth s gravitational eld The last topic discussed in this chapter is Relative velocity Relative velocity is the velocity of an object or observer B in the same rest frame of another object or observer A Relative velocity is all about understanding Frame of Reference A frame of reference is a state of motion of the observer of some event It can also be de ned as a system of geometric axes in relation to which measurements of size position or motion can be made

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