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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 (x-x ) 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 re-read these sections if anything is not clear. These are concepts that will be used throughout the entire course....
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- Spring '08