Lecture06 - Phy 2053 Chapter 3 Vectors and Motion in 2-D Thursday Sept 10 2008Gary Ihas Phy 2053 Announcements What to do Zero v at the Top Throw

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1 Phy 2053 Announcements Phy 2053 Chapter 3 Vectors, and Motion in 2-D Thursday, Sept. 10, 2008—Gary Ihas What to do? Zero v at the Top Δ x 2 v v 2 0 2 a + = v = 0 Throw ball up -initial velocity non-zero and positive Instantaneous velocity = 0 at maximum height =0 Δ x x Can be given v 0 and ask for OR vice versa Vectors let us keep track of our way in any number of dimensions by carrying all the numbers-components-we need in one symbol s Here is a vector that shows us going at an angle Θ with the x axis s It is useful to use rectangular components to manipulate vectors s These are the projections of the vector along the x- and y-axes A x and A y A x and A y are scalars Vector Components s The x-component of a vector is the projection along the x-axis cos A A θ = x x = uur ur cos A A x S The y-component of a vector is the projection along the y-axis sin y A A = y = uur ur sin A A y These equations are valid only if θ is measured with respect to the x-axis x y = + r r r A A A Then, Graphically Adding Vectors s When you add vectors, just put the tail of one on the head on the next… s The resultant is drawn from the origin of the first vector to the end of the last vectorVectors obey the commutative law of addition The order in which the vectors are added doesn’t affect the
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This note was uploaded on 12/15/2011 for the course PHY 2053 taught by Professor Buchler during the Fall '06 term at University of Florida.

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Lecture06 - Phy 2053 Chapter 3 Vectors and Motion in 2-D Thursday Sept 10 2008Gary Ihas Phy 2053 Announcements What to do Zero v at the Top Throw

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