Unformatted text preview: Motion under constant acceleration (written a) can be exactly solved for the velocity and position of a particle at any point in time. We take the initial time to be t = 0. The velocity is given by v = v + a t, where v 0 is the initial velocity and t is the time. The position is given by x = x + v 0 t + (1/2) a t 2 , where x is the initial position. Using the definitions of average velocity and the equation for v vs. t, you can derive other relations for motion under constant acceleration: x x 0 = (1/2) (v + v) t v 2 = v 2 + 2 a (xx ) You can learn all these formulas separately, but I recommend deriving them from each other. The ones I choose to remember are the first two, which give the velocity and position in powers of the time. Please reread these sections if anything is not clear. These are concepts that will be used throughout the entire course....
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This note was uploaded on 03/30/2011 for the course PHY 302K taught by Professor Kaplunovsky during the Spring '08 term at University of Texas.
 Spring '08
 Kaplunovsky

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