Rectilinear Motion

• d^2/dx^2 = -w^2x
• v^2 = w^2(a^2-x^2)
• When x = +-a, v = 0
• Period = 2Pi / w
• When x = 0, v = +-aw
• At end point where x = +-a, x = +-a cos(wt)
• Where x = 0, x = +-a sin(wt)
• In SHM, assume angular velocity is constant.
• In SHM, x = a sin(wt + sin^-1(x/a) )
• Max acceleration in SHM is when x = a.