Velocities Corresponding to Sample Position Functions

Velocities Corresponding to Sample Position Functions - •...

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Velocities Corresponding to Sample Position Functions Since we know that v(t) = x'(t) , we can now use our new knowledge of derivatives to compute the velocities for some basic position functions: for x(t) = c , c a constant, v(t) = 0 (using (F2)) for x(t) = at 2 + vt + c , v(t) = at + v (using (F1),(F2),(P1), and (P2))
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Unformatted text preview: • for x(t) = cos wt , v(t) = - w sin wt (using (F3a)) • for x(t) = vt + c , v(t) = v (using (F1),(P2)) Notice that in this last case, the velocity is constant and equal to the coefficient of t in the original position function! (4) is popularly known as "distance equals rate × time."...
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This note was uploaded on 12/03/2011 for the course PHYSICS 010 taught by Professor - during the Fall '09 term at Montgomery.

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