[[Oscillations]] # Summary * $x=A\cos(2\pi ft)$ for when object starts at max displacement (cos(0) = 1) * $x=A\sin(2\pi ft)$ for when object starts at equilibrium (sin(0) = 0) * Velocity is largest at equilibrium, acceleration is largest at turning points. * Amplitude does not affect period. * Velocity time graphs are shifted by a quarter period from displacement. * Acceleration time graphs are shifted by half a period. * Reading zeros and extrema tells position, direction of motion, and whether the object is speeding up or slowing down.